Zhang, Hong-Wei Wave and Klein-Gordon equations on certain locally symmetric spaces. (English) Zbl 07327632 J. Geom. Anal. 30, No. 4, 4386-4406 (2020). MSC: 35Q55 43A85 22E30 35P25 47J35 58D25 35A01 35A02 35L05 PDF BibTeX XML Cite \textit{H.-W. Zhang}, J. Geom. Anal. 30, No. 4, 4386--4406 (2020; Zbl 07327632) Full Text: DOI
Zhao, Peng; Fan, Engui Finite gap integration of the derivative nonlinear Schrödinger equation: a Riemann-Hilbert method. (English) Zbl 1453.35161 Physica D 402, Article ID 132213, 31 p. (2020). MSC: 35Q55 37K40 37K20 PDF BibTeX XML Cite \textit{P. Zhao} and \textit{E. Fan}, Physica D 402, Article ID 132213, 31 p. (2020; Zbl 1453.35161) Full Text: DOI
Zhai, Yunyun; Geng, Xianguo; Xue, Bo Riemann theta function solutions to the coupled long wave-short wave resonance equations. (English) Zbl 07299659 Anal. Math. Phys. 10, No. 4, Paper No. 82, 25 p. (2020). MSC: 35Q51 35Q55 37K10 37K20 35C20 14H42 PDF BibTeX XML Cite \textit{Y. Zhai} et al., Anal. Math. Phys. 10, No. 4, Paper No. 82, 25 p. (2020; Zbl 07299659) Full Text: DOI
Tamilselvan, K.; Kanna, T.; Govindarajan, A. On the integrability aspects of nonparaxial nonlinear Schrödinger equation and the dynamics of solitary waves. (English) Zbl 1448.35483 Phys. Lett., A 384, No. 27, Article ID 126729, 8 p. (2020). MSC: 35Q55 35C08 34M55 PDF BibTeX XML Cite \textit{K. Tamilselvan} et al., Phys. Lett., A 384, No. 27, Article ID 126729, 8 p. (2020; Zbl 1448.35483) Full Text: DOI
Zhao, Yao; Xia, Chuan-Yin; Zeng, Hua-Bi Cascade replication of soliton solutions in the one-dimensional complex cubic-quintic Ginzburg-Landau equation. (English) Zbl 1448.35094 Phys. Lett., A 384, No. 18, Article ID 126395, 6 p. (2020). MSC: 35C08 35Q51 35Q55 35Q56 PDF BibTeX XML Cite \textit{Y. Zhao} et al., Phys. Lett., A 384, No. 18, Article ID 126395, 6 p. (2020; Zbl 1448.35094) Full Text: DOI
Shen, Tengfei; Liu, Wenbin; Zhang, Wei; Ye, Tiefeng Existence and convergence of solutions to periodic boundary value problems for Kirchhoff equations via coincidence degree method. (English) Zbl 07279012 Math. Methods Appl. Sci. 43, No. 15, 8683-8693 (2020). Reviewer: Yanqiong Lu (Lanzhou) MSC: 34B15 47N20 PDF BibTeX XML Cite \textit{T. Shen} et al., Math. Methods Appl. Sci. 43, No. 15, 8683--8693 (2020; Zbl 07279012) Full Text: DOI
Hari, K.; Manikandan, K.; Sankaranarayanan, R. Dissipative optical solitons in asymmetric Rosen-Morse potential. (English) Zbl 1448.35432 Phys. Lett., A 384, No. 4, Article ID 126104, 8 p. (2020). MSC: 35Q51 35Q56 35C08 35Q55 81V80 PDF BibTeX XML Cite \textit{K. Hari} et al., Phys. Lett., A 384, No. 4, Article ID 126104, 8 p. (2020; Zbl 1448.35432) Full Text: DOI
Chen, Jinbing; Zhang, Runsu The complex Hamiltonian systems and quasi-periodic solutions in the derivative nonlinear Schrödinger equations. (English) Zbl 1452.35180 Stud. Appl. Math. 145, No. 2, 153-178 (2020). MSC: 35Q55 35B10 37K10 PDF BibTeX XML Cite \textit{J. Chen} and \textit{R. Zhang}, Stud. Appl. Math. 145, No. 2, 153--178 (2020; Zbl 1452.35180) Full Text: DOI
Ruzhansky, Michael; Tokmagambetov, Niyaz; Yessirkegenov, Nurgissa Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations. (English) Zbl 1453.35076 Calc. Var. Partial Differ. Equ. 59, No. 5, Paper No. 175, 22 p. (2020). Reviewer: Said El Manouni (Berlin) MSC: 35J35 35G20 22E30 43A80 PDF BibTeX XML Cite \textit{M. Ruzhansky} et al., Calc. Var. Partial Differ. Equ. 59, No. 5, Paper No. 175, 22 p. (2020; Zbl 1453.35076) Full Text: DOI
Fokas, Athanassios S. Boundary value problems, medical imaging and the asymptotics of Riemann’s zeta function. (English) Zbl 07224901 Emmanouil, Ioannis (ed.) et al., First congress of Greek mathematicians. Proceedings of the congress held in Athens, Greece, June 25–30, 2018. Berlin: De Gruyter (ISBN 978-3-11-066016-6/hbk; 978-3-11-066307-5/ebook). De Gruyter Proceedings in Mathematics, 51-78 (2020). MSC: 11M06 30E15 35Q55 92C55 PDF BibTeX XML Cite \textit{A. S. Fokas}, in: First congress of Greek mathematicians. Proceedings of the congress held in Athens, Greece, June 25--30, 2018. Berlin: De Gruyter. 51--78 (2020; Zbl 07224901) Full Text: DOI
Ma, Wen-Xiu Long-time asymptotics of a three-component coupled nonlinear Schrödinger system. (English) Zbl 1440.35308 J. Geom. Phys. 153, Article ID 103669, 27 p. (2020). MSC: 35Q55 35Q15 37K10 37K20 35B40 35B05 65K05 15A18 PDF BibTeX XML Cite \textit{W.-X. Ma}, J. Geom. Phys. 153, Article ID 103669, 27 p. (2020; Zbl 1440.35308) Full Text: DOI
Bilman, Deniz; Ling, Liming; Miller, Peter D. Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy. (English) Zbl 1437.35617 Duke Math. J. 169, No. 4, 671-760 (2020). MSC: 35Q55 35Q51 37K10 37K15 35Q15 37K40 34M55 35B40 PDF BibTeX XML Cite \textit{D. Bilman} et al., Duke Math. J. 169, No. 4, 671--760 (2020; Zbl 1437.35617) Full Text: DOI Euclid
van der Mee, Cornelis Complex short-pulse solutions by gauge transformation. (English) Zbl 1439.35464 J. Geom. Phys. 148, Article ID 103539, 11 p. (2020). MSC: 35Q60 35Q53 78A60 35Q40 82D40 35Q55 45L05 PDF BibTeX XML Cite \textit{C. van der Mee}, J. Geom. Phys. 148, Article ID 103539, 11 p. (2020; Zbl 1439.35464) Full Text: DOI
Wang, Xueli; Yuan, Guoyong; Liu, Jun; Wang, Guangrui Control of spiral drift by using feedback signals from a circular measuring domain in oscillatory media. (English) Zbl 1433.35373 Appl. Math. Comput. 368, Article ID 124802, 11 p. (2020). MSC: 35Q55 35C08 35K57 PDF BibTeX XML Cite \textit{X. Wang} et al., Appl. Math. Comput. 368, Article ID 124802, 11 p. (2020; Zbl 1433.35373) Full Text: DOI
Khater, Mostafa M. A.; Lu, Dian-Chen; Attia, Raghda A. M.; Inç, Mustafa Analytical and approximate solutions for complex nonlinear Schrödinger equation via generalized auxiliary equation and numerical schemes. (English) Zbl 1452.35189 Commun. Theor. Phys. 71, No. 11, 1267-1274 (2019). MSC: 35Q55 65D07 78A60 PDF BibTeX XML Cite \textit{M. M. A. Khater} et al., Commun. Theor. Phys. 71, No. 11, 1267--1274 (2019; Zbl 1452.35189) Full Text: DOI
Kominis, Yannis; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Frantzeskakis, Dimitrios J.; Bountis, Anastasios Continuous families of solitary waves in non-symmetric complex potentials: a Melnikov theory approach. (English) Zbl 1442.35064 Chaos Solitons Fractals 118, 222-233 (2019). MSC: 35C08 35Q55 35B32 PDF BibTeX XML Cite \textit{Y. Kominis} et al., Chaos Solitons Fractals 118, 222--233 (2019; Zbl 1442.35064) Full Text: DOI
Wu, Jianping Integrability aspects and multi-soliton solutions of a new coupled Gerdjikov-Ivanov derivative nonlinear Schrödinger equation. (English) Zbl 1437.37083 Nonlinear Dyn. 96, No. 1, 789-800 (2019). MSC: 37K10 35Q55 37K20 37K15 PDF BibTeX XML Cite \textit{J. Wu}, Nonlinear Dyn. 96, No. 1, 789--800 (2019; Zbl 1437.37083) Full Text: DOI
Mukherjee, Indranil; Guha, Partha A study of nonholonomic deformations of nonlocal integrable systems belonging to the nonlinear Schrödinger family. (English) Zbl 1440.35309 Nelineĭn. Din. 15, No. 3, 293-307 (2019). MSC: 35Q55 37K10 37J60 70F25 32G05 PDF BibTeX XML Cite \textit{I. Mukherjee} and \textit{P. Guha}, Nelineĭn. Din. 15, No. 3, 293--307 (2019; Zbl 1440.35309) Full Text: DOI MNR
Alves, V. C. C.; Aratyn, H.; Gomes, J. F.; Zimerman, A. H. Solutions of mixed Painlevé \(\text{P}_{\text{III-V}}\) model. (English) Zbl 1425.34107 J. Phys. A, Math. Theor. 52, No. 6, Article ID 065203, 23 p. (2019). MSC: 34M55 37K10 35Q55 33E17 34A34 PDF BibTeX XML Cite \textit{V. C. C. Alves} et al., J. Phys. A, Math. Theor. 52, No. 6, Article ID 065203, 23 p. (2019; Zbl 1425.34107) Full Text: DOI
Gündoǧdu, Hami; Gözükızıl, Ömer Faruk Double Laplace decomposition method and exact solutions of Hirota, Schrödinger and complex mKdV equations. (English) Zbl 1438.35390 Konuralp J. Math. 7, No. 1, 7-15 (2019). MSC: 35Q55 35A22 35Q53 PDF BibTeX XML Cite \textit{H. Gündoǧdu} and \textit{Ö. F. Gözükızıl}, Konuralp J. Math. 7, No. 1, 7--15 (2019; Zbl 1438.35390) Full Text: Link
Orlov, Aleksander Yu. Links between quantum chaos and counting problems. (English) Zbl 1423.05019 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2–8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th “School of geometry and physics”. Cham: Birkhäuser. Trends Math., 355-373 (2019). MSC: 05A15 81Q50 14N10 17B80 35Q51 35Q53 35Q55 37K20 37K30 PDF BibTeX XML Cite \textit{A. Yu. Orlov}, in: Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2--8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th ``School of geometry and physics''. Cham: Birkhäuser. 355--373 (2019; Zbl 1423.05019) Full Text: DOI
Bilman, Deniz; Buckingham, Robert Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation. (English) Zbl 1428.35485 J. Nonlinear Sci. 29, No. 5, 2185-2229 (2019). MSC: 35Q55 35Q15 35Q51 37K10 37K15 37K40 34M55 35R30 35P25 35B40 PDF BibTeX XML Cite \textit{D. Bilman} and \textit{R. Buckingham}, J. Nonlinear Sci. 29, No. 5, 2185--2229 (2019; Zbl 1428.35485) Full Text: DOI
Alfimov, G. L.; Korobeinikov, A. S.; Lustri, C. J.; Pelinovsky, D. E. Standing lattice solitons in the discrete NLS equation with saturation. (English) Zbl 1423.34019 Nonlinearity 32, No. 9, 3445-3484 (2019). MSC: 34A33 34M35 34M40 37K40 39A10 PDF BibTeX XML Cite \textit{G. L. Alfimov} et al., Nonlinearity 32, No. 9, 3445--3484 (2019; Zbl 1423.34019) Full Text: DOI
Gerdjikov, V. S.; Todorov, M. D. Manakov model with gain/loss terms and \(N\)-soliton interactions: effects of periodic potentials. (English) Zbl 1420.35355 Appl. Numer. Math. 141, 62-80 (2019). MSC: 35Q55 37K10 37K40 35C08 PDF BibTeX XML Cite \textit{V. S. Gerdjikov} and \textit{M. D. Todorov}, Appl. Numer. Math. 141, 62--80 (2019; Zbl 1420.35355) Full Text: DOI
Gutiérrez, Susana; de Laire, André The Cauchy problem for the Landau-Lifshitz-Gilbert equation in BMO and self-similar solutions. (English) Zbl 1415.35269 Nonlinearity 32, No. 7, 2522-2563 (2019). MSC: 35R05 35Q60 35A01 35C06 35B35 35Q55 35Q56 35A02 53C44 PDF BibTeX XML Cite \textit{S. Gutiérrez} and \textit{A. de Laire}, Nonlinearity 32, No. 7, 2522--2563 (2019; Zbl 1415.35269) Full Text: DOI arXiv
Chacón, Erick; García-Compeán, Hugo Self-dual gravity via Hitchin’s equations. (English) Zbl 1419.83048 J. Math. Phys. 60, No. 5, 052502, 19 p. (2019). MSC: 83D05 83C15 81R12 70S15 53Z05 83C45 83C80 35Q55 34M55 PDF BibTeX XML Cite \textit{E. Chacón} and \textit{H. García-Compeán}, J. Math. Phys. 60, No. 5, 052502, 19 p. (2019; Zbl 1419.83048) Full Text: DOI
Sambou, Diomba Spectral non-self-adjoint analysis of complex Dirac, Pauli and Schrödinger operators with constant magnetic fields of full rank. (English) Zbl 1416.35247 Asymptotic Anal. 111, No. 2, 113-136 (2019). MSC: 35Q55 35J10 35P20 35B40 81Q05 47N50 PDF BibTeX XML Cite \textit{D. Sambou}, Asymptotic Anal. 111, No. 2, 113--136 (2019; Zbl 1416.35247) Full Text: DOI
Geng, Xianguo; Liu, Wei; Xue, Bo Finite genus solutions to the coupled Burgers hierarchy. (English) Zbl 1407.35171 Result. Math. 74, No. 1, Paper No. 11, 28 p. (2019). MSC: 35Q51 35Q55 37K10 37K20 PDF BibTeX XML Cite \textit{X. Geng} et al., Result. Math. 74, No. 1, Paper No. 11, 28 p. (2019; Zbl 1407.35171) Full Text: DOI
Mukaihira, Atsushi; Tsuboi, Yoshimasa DSF chain for biorthogonal polynomials and its application to matrix eigenvalue problems. (English) Zbl 1406.37055 J. Comput. Appl. Math. 347, 273-295 (2019). MSC: 37K20 42C05 37K10 33D45 65F15 35Q55 37K35 41A21 PDF BibTeX XML Cite \textit{A. Mukaihira} and \textit{Y. Tsuboi}, J. Comput. Appl. Math. 347, 273--295 (2019; Zbl 1406.37055) Full Text: DOI
Leta, Temesgen Desta; Li, Jibin Dynamical behaviour and exact solutions of thirteenth order derivative nonlinear Schrödinger equation. (English) Zbl 07303032 J. Appl. Anal. Comput. 8, No. 1, 250-271 (2018). Reviewer: Hong Li (Jiujiang) MSC: 34A05 34C25 34C05 34C37 34M55 35Q55 35C07 PDF BibTeX XML Cite \textit{T. D. Leta} and \textit{J. Li}, J. Appl. Anal. Comput. 8, No. 1, 250--271 (2018; Zbl 07303032) Full Text: DOI
Rogers, Colin; Schief, Wolfgang K. On a novel resonant Ermakov-NLS system: Painlevé reduction. (English) Zbl 1405.35199 Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer (ISBN 978-3-319-72455-3/hbk; 978-3-319-72456-0/ebook). 1081-1098 (2018). MSC: 35Q55 78A60 37K10 34M55 35Q60 35B09 37K35 PDF BibTeX XML Cite \textit{C. Rogers} and \textit{W. K. Schief}, in: Contemporary computational mathematics -- a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer. 1081--1098 (2018; Zbl 1405.35199) Full Text: DOI
Wang, Gehao From Kontsevich-Witten to linear Hodge integrals via Virasoro operators. (English) Zbl 1408.37125 J. Math. Phys. 59, No. 12, 123502, 12 p. (2018). MSC: 37K30 37K20 81R10 37K10 35Q55 14C30 17B68 41A58 PDF BibTeX XML Cite \textit{G. Wang}, J. Math. Phys. 59, No. 12, 123502, 12 p. (2018; Zbl 1408.37125) Full Text: DOI
Ray, Santanu Saha The new complex rational function prototype structures for the nonlinear Schrödinger-inviscid Burgers system. (English) Zbl 1402.35262 Math. Methods Appl. Sci. 41, No. 16, 6312-6325 (2018). MSC: 35Q55 35Q35 PDF BibTeX XML Cite \textit{S. S. Ray}, Math. Methods Appl. Sci. 41, No. 16, 6312--6325 (2018; Zbl 1402.35262) Full Text: DOI
de Bouard, Anne; Debussche, Arnaud; Fukuizumi, Reika Long time behavior of Gross-Pitaevskii equation at positive temperature. (English) Zbl 1406.35376 SIAM J. Math. Anal. 50, No. 6, 5887-5920 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q55 60H15 35R60 35Q56 PDF BibTeX XML Cite \textit{A. de Bouard} et al., SIAM J. Math. Anal. 50, No. 6, 5887--5920 (2018; Zbl 1406.35376) Full Text: DOI arXiv
Yu, Fajun Localized analytical solutions and numerically stabilities of generalized Gross-Pitaevskii (\(\mathrm{GP}(p,q)\)) equation with specific external potentials. (English) Zbl 1402.35071 Appl. Math. Lett. 85, 1-7 (2018). MSC: 35C08 35B35 35Q55 PDF BibTeX XML Cite \textit{F. Yu}, Appl. Math. Lett. 85, 1--7 (2018; Zbl 1402.35071) Full Text: DOI
Claeys, Tom; Doeraene, Antoine The generating function for the Airy point process and a system of coupled Painlevé II equations. (English) Zbl 1419.37063 Stud. Appl. Math. 140, No. 4, 403-437 (2018). Reviewer: Johanna Michor (Wien) MSC: 37K10 15B52 60B20 34M55 35Q55 60G55 PDF BibTeX XML Cite \textit{T. Claeys} and \textit{A. Doeraene}, Stud. Appl. Math. 140, No. 4, 403--437 (2018; Zbl 1419.37063) Full Text: DOI arXiv
Fotiadis, A.; Mandouvalos, N.; Marias, M. Schrödinger equations on locally symmetric spaces. (English) Zbl 1406.35353 Math. Ann. 371, No. 3-4, 1351-1374 (2018). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 43A85 22E30 35P25 47J35 58D25 PDF BibTeX XML Cite \textit{A. Fotiadis} et al., Math. Ann. 371, No. 3--4, 1351--1374 (2018; Zbl 1406.35353) Full Text: DOI
Yang, Bo; Yang, Jianke Transformations between nonlocal and local integrable equations. (English) Zbl 1392.35297 Stud. Appl. Math. 140, No. 2, 178-201 (2018). MSC: 35Q55 35Q53 35Q51 37K10 37K35 37K15 PDF BibTeX XML Cite \textit{B. Yang} and \textit{J. Yang}, Stud. Appl. Math. 140, No. 2, 178--201 (2018; Zbl 1392.35297) Full Text: DOI
Ivey, T.; Lafortune, S. Stability of closed solutions to the vortex filament equation hierarchy with application to the Hirota equation. (English) Zbl 1390.35329 Nonlinearity 31, No. 2, 458-490 (2018). MSC: 35Q55 37K20 37K45 35Q35 PDF BibTeX XML Cite \textit{T. Ivey} and \textit{S. Lafortune}, Nonlinearity 31, No. 2, 458--490 (2018; Zbl 1390.35329) Full Text: DOI
Rogers, Colin; Chow, Kwok On modulated NLS-Ermakov systems. (English) Zbl 1420.35379 J. Nonlinear Math. Phys. 24, No. Suppl. 1, 61-74 (2017). MSC: 35Q55 34M55 37K10 PDF BibTeX XML Cite \textit{C. Rogers} and \textit{K. Chow}, J. Nonlinear Math. Phys. 24, No. Suppl. 1, 61--74 (2017; Zbl 1420.35379) Full Text: DOI
Rogers, Colin On hybrid Ermakov-Painlevé systems. Integrable reduction. (English) Zbl 1420.34108 J. Nonlinear Math. Phys. 24, No. 2, 239-249 (2017). MSC: 34M55 35Q55 37K10 35Q51 34A25 PDF BibTeX XML Cite \textit{C. Rogers}, J. Nonlinear Math. Phys. 24, No. 2, 239--249 (2017; Zbl 1420.34108) Full Text: DOI
Kotlyarov, Vladimir; Shepelsky, Dmitry Planar unimodular Baker-Akhiezer function for the nonlinear Schrödinger equation. (English) Zbl 1386.35379 Ann. Math. Sci. Appl. 2, No. 2, 343-384 (2017). MSC: 35Q55 37K10 30E20 30E25 35B10 35B15 PDF BibTeX XML Cite \textit{V. Kotlyarov} and \textit{D. Shepelsky}, Ann. Math. Sci. Appl. 2, No. 2, 343--384 (2017; Zbl 1386.35379) Full Text: DOI
Triki, Houria; Wazwaz, Abdul-Majid A new trial equation method for finding exact chirped soliton solutions of the quintic derivative nonlinear Schrödinger equation with variable coefficients. (English) Zbl 1375.35509 Waves Random Complex Media 27, No. 1, 153-162 (2017). MSC: 35Q55 35C08 PDF BibTeX XML Cite \textit{H. Triki} and \textit{A.-M. Wazwaz}, Waves Random Complex Media 27, No. 1, 153--162 (2017; Zbl 1375.35509) Full Text: DOI
Gan, Lu; Liu, Weiming Multiple complex-valued solutions for the nonlinear Schrödinger equations involving magnetic potentials. (English) Zbl 1376.35014 Commun. Pure Appl. Anal. 16, No. 6, 1957-1975 (2017). MSC: 35J10 35J60 PDF BibTeX XML Cite \textit{L. Gan} and \textit{W. Liu}, Commun. Pure Appl. Anal. 16, No. 6, 1957--1975 (2017; Zbl 1376.35014) Full Text: DOI
Natanzon, Sergey M.; Orlov, Aleksandr Yu. BKP and projective Hurwitz numbers. (English) Zbl 1368.05009 Lett. Math. Phys. 107, No. 6, 1065-1109 (2017). MSC: 05A15 14N10 17B80 35Q51 35Q53 35Q55 37K20 37K30 PDF BibTeX XML Cite \textit{S. M. Natanzon} and \textit{A. Yu. Orlov}, Lett. Math. Phys. 107, No. 6, 1065--1109 (2017; Zbl 1368.05009) Full Text: DOI
Wu, Jian-Ping; Geng, Xian-Guo Inverse scattering transform of the coupled Sasa-Satsuma equation by Riemann-Hilbert approach. (English) Zbl 1365.35167 Commun. Theor. Phys. 67, No. 5, 527-534 (2017). MSC: 35Q55 35C08 37K35 35Q15 34M50 PDF BibTeX XML Cite \textit{J.-P. Wu} and \textit{X.-G. Geng}, Commun. Theor. Phys. 67, No. 5, 527--534 (2017; Zbl 1365.35167) Full Text: DOI
Klein, Christian; McLaughlin, Kenneth D. T-R Spectral approach to D-bar problems. (English) Zbl 1381.78003 Commun. Pure Appl. Math. 70, No. 6, 1052-1083 (2017). Reviewer: Hongpeng Sun (Beijing) MSC: 78A05 78M22 35Q55 37K10 78M35 65N12 65F10 65F08 78A46 PDF BibTeX XML Cite \textit{C. Klein} and \textit{K. D. T R McLaughlin}, Commun. Pure Appl. Math. 70, No. 6, 1052--1083 (2017; Zbl 1381.78003) Full Text: DOI
Cingolani, Silvia; Jeanjean, Louis; Tanaka, Kazunaga Multiple complex-valued solutions for nonlinear magnetic Schrödinger equations. (English) Zbl 1360.35239 J. Fixed Point Theory Appl. 19, No. 1, 37-66 (2017). MSC: 35Q55 35J20 35Q40 35B06 PDF BibTeX XML Cite \textit{S. Cingolani} et al., J. Fixed Point Theory Appl. 19, No. 1, 37--66 (2017; Zbl 1360.35239) Full Text: DOI arXiv
Li, Xin; Shen, Wenxian; Sun, Chunyou Invariant measures for complex-valued dissipative dynamical systems and applications. (English) Zbl 1362.37154 Discrete Contin. Dyn. Syst., Ser. B 22, No. 6, 2427-2446 (2017). MSC: 37L40 35B41 35Q55 35Q56 76F20 PDF BibTeX XML Cite \textit{X. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 6, 2427--2446 (2017; Zbl 1362.37154) Full Text: DOI
Rogers, Colin; Clarkson, Peter A. Ermakov-Painlevé II symmetry reduction of a Korteweg capillarity system. (English) Zbl 1380.37133 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 018, 20 p. (2017). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 37K35 37K10 76B45 76D45 33E17 34M55 35Q55 PDF BibTeX XML Cite \textit{C. Rogers} and \textit{P. A. Clarkson}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 018, 20 p. (2017; Zbl 1380.37133) Full Text: DOI arXiv
Özemir, C. On some canonical classes of cubic-quintic nonlinear Schrödinger equations. (English) Zbl 1354.35142 J. Math. Anal. Appl. 446, No. 2, 1814-1832 (2017). MSC: 35Q55 35B44 17B81 34M55 PDF BibTeX XML Cite \textit{C. Özemir}, J. Math. Anal. Appl. 446, No. 2, 1814--1832 (2017; Zbl 1354.35142) Full Text: DOI
Li, Hong; Ma, Lilin; Wang, Kanmin Solitary wave and chaotic behavior of traveling wave solutions for the coupled Schrödinger-KdV equations. (English) Zbl 07246776 J. Appl. Anal. Comput. 6, No. 4, 1073-1080 (2016). MSC: 34C37 35C07 35Q55 35Q53 34C05 34C23 34C28 34A05 PDF BibTeX XML Cite \textit{H. Li} et al., J. Appl. Anal. Comput. 6, No. 4, 1073--1080 (2016; Zbl 07246776) Full Text: DOI
Barashenkov, Igor V.; Zezyulin, D. A.; Konotop, V. V. Exactly solvable Wadati potentials in the \(PT\)-symmetric Gross-Pitaevskii equation. (English) Zbl 1402.81126 Bagarello, Fabio (ed.) et al., Non-Hermitian Hamiltonians in quantum physics. Selected contributions from the 15th international conference on non-Hermitian Hamiltonians in quantum physics, Palermo, Italy, May 18–23, 2015. Cham: Springer (ISBN 978-3-319-31354-2/hbk; 978-3-319-31356-6/ebook). Springer Proceedings in Physics 184, 143-155 (2016). MSC: 81Q05 35Q55 81Q80 PDF BibTeX XML Cite \textit{I. V. Barashenkov} et al., Springer Proc. Phys. 184, 143--155 (2016; Zbl 1402.81126) Full Text: DOI
Wang, Lijun; Li, Jingna; Xia, Li The inviscid limit of the fractional complex Ginzburg-Landau equation. (English) Zbl 1401.35326 Int. J. Nonlinear Sci. Numer. Simul. 17, No. 6, 333-341 (2016). MSC: 35R11 35Q56 35Q55 PDF BibTeX XML Cite \textit{L. Wang} et al., Int. J. Nonlinear Sci. Numer. Simul. 17, No. 6, 333--341 (2016; Zbl 1401.35326) Full Text: DOI
Zhou, Qin; Zhong, Yi; Mirzazadeh, Mohammad; Bhrawy, Ali H.; Zerrad, Essaid; Biswas, Anjan Thirring combo-solitons with cubic nonlinearity and spatio-temporal dispersion. (English) Zbl 1378.35289 Waves Random Complex Media 26, No. 2, 204-210 (2016). MSC: 35Q55 35C08 78A35 37K10 PDF BibTeX XML Cite \textit{Q. Zhou} et al., Waves Random Complex Media 26, No. 2, 204--210 (2016; Zbl 1378.35289) Full Text: DOI
Baskonus, Haci Mehmet; Bulut, Hasan New wave behaviors of the system of equations for the ion sound and Langmuir waves. (English) Zbl 1365.78006 Waves Random Complex Media 26, No. 4, 613-625 (2016). MSC: 78A40 35C07 76Q05 35Q55 PDF BibTeX XML Cite \textit{H. M. Baskonus} and \textit{H. Bulut}, Waves Random Complex Media 26, No. 4, 613--625 (2016; Zbl 1365.78006) Full Text: DOI
Zourmba, K.; Oumate, A. A.; Gambo, B.; Effa, J. Y.; Mohamadou, A. Controlling chaos in optical fiber using time-delay feedback control method. (English) Zbl 1365.34109 Far East J. Dyn. Syst. 28, No. 3, 195-203 (2016). MSC: 34H10 35Q55 37D45 34C28 PDF BibTeX XML Cite \textit{K. Zourmba} et al., Far East J. Dyn. Syst. 28, No. 3, 195--203 (2016; Zbl 1365.34109) Full Text: DOI Link
Hayashi, Nakao; Naumkin, Pavel I. Large time asymptotics of solutions for the third-order nonlinear Schrödinger equation. (English) Zbl 1360.35247 J. Math. Sci., Tokyo 23, No. 4, 867-919 (2016). MSC: 35Q55 35B40 35Q53 35B45 PDF BibTeX XML Cite \textit{N. Hayashi} and \textit{P. I. Naumkin}, J. Math. Sci., Tokyo 23, No. 4, 867--919 (2016; Zbl 1360.35247) Full Text: Link
Ling, Liming The algebraic representation for high order solution of Sasa-Satsuma equation. (English) Zbl 1353.37134 Discrete Contin. Dyn. Syst., Ser. S 9, No. 6, 1975-2010 (2016). MSC: 37K10 35Q55 35C08 37K20 37K35 37K40 22E67 PDF BibTeX XML Cite \textit{L. Ling}, Discrete Contin. Dyn. Syst., Ser. S 9, No. 6, 1975--2010 (2016; Zbl 1353.37134) Full Text: DOI
Doikou, Anastasia Classical integrable defects as quasi Bäcklund transformations. (English) Zbl 1346.37054 Nucl. Phys., B 911, 212-230 (2016). MSC: 37K10 82D25 35Q55 37K35 37K20 PDF BibTeX XML Cite \textit{A. Doikou}, Nucl. Phys., B 911, 212--230 (2016; Zbl 1346.37054) Full Text: DOI arXiv
Johnson, Russell; Zampogni, Luca Some examples of generalized reflectionless Schrödinger potentials. (English) Zbl 1418.37115 Discrete Contin. Dyn. Syst., Ser. S 9, No. 4, 1149-1170 (2016). MSC: 37K15 37K20 34L40 35Q55 PDF BibTeX XML Cite \textit{R. Johnson} and \textit{L. Zampogni}, Discrete Contin. Dyn. Syst., Ser. S 9, No. 4, 1149--1170 (2016; Zbl 1418.37115) Full Text: DOI
Grahovski, G. G.; Konstantinou-Rizos, S.; Mikhailov, A. V. Grassmann extensions of Yang-Baxter maps. (English) Zbl 1345.81055 J. Phys. A, Math. Theor. 49, No. 14, Article ID 145202, 17 p. (2016). MSC: 81R12 14M15 16T25 37K10 37K35 35Q55 37K20 PDF BibTeX XML Cite \textit{G. G. Grahovski} et al., J. Phys. A, Math. Theor. 49, No. 14, Article ID 145202, 17 p. (2016; Zbl 1345.81055) Full Text: DOI arXiv
Marquette, Ian; Quesne, Christiane Connection between quantum systems involving the fourth Painlevé transcendent and \(k\)-step rational extensions of the harmonic oscillator related to Hermite exceptional orthogonal polynomial. (English) Zbl 1375.81100 J. Math. Phys. 57, No. 5, 052101, 15 p. (2016). Reviewer: Andrew Pickering (Madrid) MSC: 81Q10 35Q55 34M55 81Q60 81Q80 33C20 33C45 PDF BibTeX XML Cite \textit{I. Marquette} and \textit{C. Quesne}, J. Math. Phys. 57, No. 5, 052101, 15 p. (2016; Zbl 1375.81100) Full Text: DOI arXiv
Wu, Lihua; Geng, Xianguo; He, Guoliang Algebro-geometric solutions to the Manakov hierarchy. (English) Zbl 1338.35384 Appl. Anal. 95, No. 4, 769-800 (2016). MSC: 35Q51 35Q55 37K10 37K20 PDF BibTeX XML Cite \textit{L. Wu} et al., Appl. Anal. 95, No. 4, 769--800 (2016; Zbl 1338.35384) Full Text: DOI
Liu, Weiming Infinitely many solutions for nonlinear Schrödinger systems with magnetic potentials in \(\mathbb{R}^3\). (English) Zbl 1339.35292 Math. Methods Appl. Sci. 39, No. 6, 1452-1479 (2016). MSC: 35Q55 35J10 35B99 35J60 PDF BibTeX XML Cite \textit{W. Liu}, Math. Methods Appl. Sci. 39, No. 6, 1452--1479 (2016; Zbl 1339.35292) Full Text: DOI
Valchev, T. I. Dressing method and quadratic bundles related to symmetric spaces. Vanishing boundary conditions. (English) Zbl 1342.35356 J. Math. Phys. 57, No. 2, 021508, 14 p. (2016). Reviewer: Marin I. Marin (Braşov) MSC: 35Q55 32M15 14J60 37K10 35C08 PDF BibTeX XML Cite \textit{T. I. Valchev}, J. Math. Phys. 57, No. 2, 021508, 14 p. (2016; Zbl 1342.35356) Full Text: DOI
Li, Qian; Xia, Tiecheng; Yue, Chao Algebro-geometric solutions for the generalized nonlinear Schrödinger hierarchy. (English) Zbl 1326.37043 J. Nonlinear Sci. Appl. 9, No. 2, 661-676 (2016). MSC: 37K10 35Q35 37K20 PDF BibTeX XML Cite \textit{Q. Li} et al., J. Nonlinear Sci. Appl. 9, No. 2, 661--676 (2016; Zbl 1326.37043) Full Text: DOI Link
Baskonus, Haci Mehmet; Bulut, Hasan On the complex structures of Kundu-Eckhaus equation via improved Bernoulli sub-equation function method. (English) Zbl 1397.35267 Waves Random Complex Media 25, No. 4, 720-728 (2015). MSC: 35Q55 35C05 PDF BibTeX XML Cite \textit{H. M. Baskonus} and \textit{H. Bulut}, Waves Random Complex Media 25, No. 4, 720--728 (2015; Zbl 1397.35267) Full Text: DOI
Cruz, Hans; Schuch, Dieter; Castaños, Octavio; Rosas-Ortiz, Oscar Time-evolution of quantum systems via a complex nonlinear Riccati equation. I: Conservative systems with time-independent Hamiltonian. (English) Zbl 1360.81139 Ann. Phys. 360, 44-60 (2015). MSC: 81Q05 81R30 81Q65 PDF BibTeX XML Cite \textit{H. Cruz} et al., Ann. Phys. 360, 44--60 (2015; Zbl 1360.81139) Full Text: DOI
Aminikhah, H.; Dehghan, P. Generalized differential transform method for solving discrete complex cubic Ginzburg-Landau equation. (English) Zbl 1359.65224 Int. J. Comput. Methods 12, No. 3, Article ID 1550017, 18 p. (2015). MSC: 65M99 35Q56 35Q55 35Q51 PDF BibTeX XML Cite \textit{H. Aminikhah} and \textit{P. Dehghan}, Int. J. Comput. Methods 12, No. 3, Article ID 1550017, 18 p. (2015; Zbl 1359.65224) Full Text: DOI
Bologna, M.; Beig, M. T.; Svenkeson, A.; Grigolini, P.; West, B. J. Spectral decomposition of a Fokker-Planck equation at criticality. (English) Zbl 1360.82068 J. Stat. Phys. 160, No. 2, 466-476 (2015). MSC: 82C31 35Q84 05C82 82C27 35P30 35Q55 PDF BibTeX XML Cite \textit{M. Bologna} et al., J. Stat. Phys. 160, No. 2, 466--476 (2015; Zbl 1360.82068) Full Text: DOI
Song, N.; Zhang, W.; Yao, M. H. Complex nonlinearities of rogue waves in generalized inhomogeneous higher-order nonlinear Schrödinger equation. (English) Zbl 1348.35244 Nonlinear Dyn. 82, No. 1-2, 489-500 (2015). MSC: 35Q55 76L05 PDF BibTeX XML Cite \textit{N. Song} et al., Nonlinear Dyn. 82, No. 1--2, 489--500 (2015; Zbl 1348.35244) Full Text: DOI
Mitri, F. G. From Bessel beam to complex-source-point cylindrical wave-function. (English) Zbl 1343.78018 Ann. Phys. 355, 55-69 (2015). MSC: 78A60 81V80 PDF BibTeX XML Cite \textit{F. G. Mitri}, Ann. Phys. 355, 55--69 (2015; Zbl 1343.78018) Full Text: DOI
Fernández C., David J.; González, J. C. Complex oscillator and Painlevé IV equation. (English) Zbl 1343.81115 Ann. Phys. 359, 213-229 (2015). MSC: 81Q60 34C15 81Q05 81R05 PDF BibTeX XML Cite \textit{D. J. Fernández C.} and \textit{J. C. González}, Ann. Phys. 359, 213--229 (2015; Zbl 1343.81115) Full Text: DOI arXiv
Adami, Riccardo; Serra, Enrico; Tilli, Paolo Lack of ground state for NLSE on bridge-type graphs. (English) Zbl 1335.35261 Mugnolo, Delio (ed.), Mathematical technology of networks. Bielefeld, December 2013. Selected papers based on the presentations at the conference, Bielefeld, Germany, December 4–7, 2013. Cham: Springer (ISBN 978-3-319-16618-6/hbk; 978-3-319-16619-3/ebook). Springer Proceedings in Mathematics & Statistics 128, 1-11 (2015). MSC: 35R02 35Q55 05C82 PDF BibTeX XML Cite \textit{R. Adami} et al., in: Mathematical technology of networks. Bielefeld, December 2013. Selected papers based on the presentations at the conference, Bielefeld, Germany, December 4--7, 2013. Cham: Springer. 1--11 (2015; Zbl 1335.35261) Full Text: DOI
Yoshii, Kentarou; Yokota, Tomomi; Suzuki, Toshiyuki; Sobajima, Motohiro; Kugo, Yuta Solvability of a class of complex Ginzburg-Landau equations in periodic Sobolev spaces. (English) Zbl 1381.35167 Discrete Contin. Dyn. Syst. 2015, Suppl., 754-763 (2015). MSC: 35Q56 35Q55 35K55 35A01 35B10 PDF BibTeX XML Cite \textit{K. Yoshii} et al., Discrete Contin. Dyn. Syst. 2015, 754--763 (2015; Zbl 1381.35167) Full Text: DOI
Todorov, M. D.; Kyuldjiev, A. V.; Gerdjikov, V. S. Manakov solitons and effects of external potential wells. (English) Zbl 1336.35325 Discrete Contin. Dyn. Syst. 2015, Suppl., 505-514 (2015). MSC: 35Q55 35Q60 37K10 37K40 35C08 PDF BibTeX XML Cite \textit{M. D. Todorov} et al., Discrete Contin. Dyn. Syst. 2015, 505--514 (2015; Zbl 1336.35325) Full Text: DOI
Dzhamay, Anton (ed.); Maruno, Kenichi (ed.); Ormerod, Christopher M. (ed.) Algebraic and analytic aspects of integrable systems and Painlevé equations. AMS special session, Baltimore, MD, USA, January 18, 2014. (English) Zbl 1330.37002 Contemporary Mathematics 651. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1654-6/pbk; 978-1-4704-2779-5/ebook). xi, 194 p. (2015). MSC: 37-06 37K10 34M55 34M56 35Q55 33C20 81R12 00B25 PDF BibTeX XML Cite \textit{A. Dzhamay} (ed.) et al., Algebraic and analytic aspects of integrable systems and Painlevé equations. AMS special session, Baltimore, MD, USA, January 18, 2014. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1330.37002) Full Text: DOI
Chvartatskyi, O.; Müller-Hoissen, F.; Stoilov, N. “Riemann equations” in bidifferential calculus. (English) Zbl 1325.37040 J. Math. Phys. 56, No. 10, 103512, 36 p. (2015). MSC: 37K10 37K20 37K35 37K40 35Q53 35Q55 76B15 PDF BibTeX XML Cite \textit{O. Chvartatskyi} et al., J. Math. Phys. 56, No. 10, 103512, 36 p. (2015; Zbl 1325.37040) Full Text: DOI
Marchesiello, A.; Post, S.; Šnobl, L. Third-order superintegrable systems with potentials satisfying only nonlinear equations. (English) Zbl 1325.81079 J. Math. Phys. 56, No. 10, 102104, 11 p. (2015). MSC: 81Q05 34L40 34M55 35Q55 81R12 PDF BibTeX XML Cite \textit{A. Marchesiello} et al., J. Math. Phys. 56, No. 10, 102104, 11 p. (2015; Zbl 1325.81079) Full Text: DOI
Shapiro, Boris On Evgrafov-Fedoryuk’s theory and quadratic differentials. (English) Zbl 1331.34165 Anal. Math. Phys. 5, No. 2, 171-181 (2015). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M40 34L05 PDF BibTeX XML Cite \textit{B. Shapiro}, Anal. Math. Phys. 5, No. 2, 171--181 (2015; Zbl 1331.34165) Full Text: DOI arXiv
Achilleos, V.; Diamantidis, S.; Frantzeskakis, D. J.; Karachalios, N. I.; Kevrekidis, P. G. Conservation laws, exact traveling waves and modulation instability for an extended nonlinear Schrödinger equation. (English) Zbl 1330.35370 J. Phys. A, Math. Theor. 48, No. 35, Article ID 355205, 33 p. (2015). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q53 35Q55 35C07 37K40 35C08 PDF BibTeX XML Cite \textit{V. Achilleos} et al., J. Phys. A, Math. Theor. 48, No. 35, Article ID 355205, 33 p. (2015; Zbl 1330.35370) Full Text: DOI
Sierra, Jesús; Kasimov, Aslan; Markowich, Peter; Weishäupl, Rada-Maria On the Gross-Pitaevskii equation with pumping and decay: stationary states and their stability. (English) Zbl 1318.35109 J. Nonlinear Sci. 25, No. 3, 709-739 (2015). MSC: 35Q55 65M70 82B10 82-08 PDF BibTeX XML Cite \textit{J. Sierra} et al., J. Nonlinear Sci. 25, No. 3, 709--739 (2015; Zbl 1318.35109) Full Text: DOI arXiv
Dubrovin, Boris; Grava, Tamara; Klein, Christian; Moro, Antonio On critical behaviour in systems of Hamiltonian partial differential equations. (English) Zbl 1321.35208 J. Nonlinear Sci. 25, No. 3, 631-707 (2015). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 37K05 34M55 PDF BibTeX XML Cite \textit{B. Dubrovin} et al., J. Nonlinear Sci. 25, No. 3, 631--707 (2015; Zbl 1321.35208) Full Text: DOI
Feng, Bao-Feng; Maruno, Ken-ichi; Ohta, Yasuhiro Integrable semi-discretization of a multi-component short pulse equation. (English) Zbl 1315.35201 J. Math. Phys. 56, No. 4, 043502, 15 p. (2015). MSC: 35Q55 78A60 81V80 35Q60 35C08 37K20 37K35 39A12 PDF BibTeX XML Cite \textit{B.-F. Feng} et al., J. Math. Phys. 56, No. 4, 043502, 15 p. (2015; Zbl 1315.35201) Full Text: DOI
Zullo, Federico A \(q\)-difference Baxter operator for the Ablowitz-Ladik chain. (English) Zbl 1312.81069 J. Phys. A, Math. Theor. 48, No. 12, Article ID 125205, 17 p. (2015). MSC: 81Q05 34M35 81R12 34K31 35Q55 37K35 82B23 PDF BibTeX XML Cite \textit{F. Zullo}, J. Phys. A, Math. Theor. 48, No. 12, Article ID 125205, 17 p. (2015; Zbl 1312.81069) Full Text: DOI arXiv
Mahalov, Alex; Suslov, Sergei K. Solution of paraxial wave equation for inhomogeneous media in linear and quadratic approximation. (English) Zbl 1309.35139 Proc. Am. Math. Soc. 143, No. 2, 595-610 (2015). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q55 35Q60 35Q56 PDF BibTeX XML Cite \textit{A. Mahalov} and \textit{S. K. Suslov}, Proc. Am. Math. Soc. 143, No. 2, 595--610 (2015; Zbl 1309.35139) Full Text: DOI
Rogers, Colin Hybrid Ermakov-Painlevé IV systems. (English) Zbl 1420.35378 J. Nonlinear Math. Phys. 21, No. 4, 628-642 (2014). MSC: 35Q55 34M55 37K10 35Q51 34A25 PDF BibTeX XML Cite \textit{C. Rogers}, J. Nonlinear Math. Phys. 21, No. 4, 628--642 (2014; Zbl 1420.35378) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Abdelkawy, M. A.; Van Gorder, Robert A. Jacobi-Gauss-Lobatto collocation method for the numerical solution of \(1+1\) nonlinear Schrödinger equations. (English) Zbl 1349.65511 J. Comput. Phys. 261, 244-255 (2014). MSC: 65M70 35Q55 PDF BibTeX XML Cite \textit{E. H. Doha} et al., J. Comput. Phys. 261, 244--255 (2014; Zbl 1349.65511) Full Text: DOI
Mostafazadeh, Ali A dynamical formulation of one-dimensional scattering theory and its applications in optics. (English) Zbl 1342.78029 Ann. Phys. 341, 77-85 (2014). MSC: 78A45 78A60 35Q41 PDF BibTeX XML Cite \textit{A. Mostafazadeh}, Ann. Phys. 341, 77--85 (2014; Zbl 1342.78029) Full Text: DOI arXiv
Bhrawy, A. H. An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system. (English) Zbl 1339.65188 Appl. Math. Comput. 247, 30-46 (2014). MSC: 65M70 35L70 35Q55 PDF BibTeX XML Cite \textit{A. H. Bhrawy}, Appl. Math. Comput. 247, 30--46 (2014; Zbl 1339.65188) Full Text: DOI
Breev, A. I. Schrödinger equation with convolution nonlinearity on Lie groups and commutative homogeneous spaces. (English. Russian original) Zbl 1326.22018 Russ. Phys. J. 57, No. 8, 1050-1058 (2014); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 57, No. 8, 42-48 (2014). MSC: 22E70 22E30 35C08 35Q55 81Q05 PDF BibTeX XML Cite \textit{A. I. Breev}, Russ. Phys. J. 57, No. 8, 1050--1058 (2014; Zbl 1326.22018); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 57, No. 8, 42--48 (2014) Full Text: DOI
Takahashi, Toshinori On the WKB theoretic structure of a Schrödinger operator with a Stokes curve of loop type. (English) Zbl 1337.34091 RIMS Kôkyûroku Bessatsu B52, 71-84 (2014). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M60 34M40 34M25 34L40 PDF BibTeX XML Cite \textit{T. Takahashi}, RIMS Kôkyûroku Bessatsu B52, 71--84 (2014; Zbl 1337.34091)
Alves, Claudianor O.; Figueiredo, Giovany M. Multiplicity of solutions for a NLS equations with magnetic fields in \(\mathbb {R}^{N}\). (English) Zbl 1301.35144 Monatsh. Math. 175, No. 1, 1-23 (2014). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q55 35A15 35C08 35H30 35D30 58E05 PDF BibTeX XML Cite \textit{C. O. Alves} and \textit{G. M. Figueiredo}, Monatsh. Math. 175, No. 1, 1--23 (2014; Zbl 1301.35144) Full Text: DOI arXiv
Anker, Jean-Philippe; Pierfelice, Vittoria Wave and Klein-Gordon equations on hyperbolic spaces. (English) Zbl 1297.35138 Anal. PDE 7, No. 4, 953-995 (2014). MSC: 35L71 43A85 43A90 47J35 22E30 58D25 58J45 81Q05 PDF BibTeX XML Cite \textit{J.-P. Anker} and \textit{V. Pierfelice}, Anal. PDE 7, No. 4, 953--995 (2014; Zbl 1297.35138) Full Text: DOI arXiv
He, Guoliang; Geng, Xianguo; Wu, Lihua Algebro-geometric quasi-periodic solutions to the three-wave resonant interaction hierarchy. (English) Zbl 1319.35211 SIAM J. Math. Anal. 46, No. 2, 1348-1384 (2014). Reviewer: Yvan Martel (Palaiseau) MSC: 35Q51 35Q55 37K10 37K20 PDF BibTeX XML Cite \textit{G. He} et al., SIAM J. Math. Anal. 46, No. 2, 1348--1384 (2014; Zbl 1319.35211) Full Text: DOI
Bender, Carl M.; Fring, Andreas; Komijani, Javad Nonlinear eigenvalue problems. (English) Zbl 1295.65083 J. Phys. A, Math. Theor. 47, No. 23, Article ID 235204, 15 p. (2014). MSC: 65L15 32A05 33E15 34L20 47J10 81Q05 34L30 34E20 PDF BibTeX XML Cite \textit{C. M. Bender} et al., J. Phys. A, Math. Theor. 47, No. 23, Article ID 235204, 15 p. (2014; Zbl 1295.65083) Full Text: DOI arXiv
Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. II: Its relevance to the Mathieu equation and the Legendre equation. (English) Zbl 1293.35301 Adv. Math. 260, 565-613 (2014). MSC: 35Q55 37K10 34B30 34M60 81Q20 PDF BibTeX XML Cite \textit{S. Kamimoto} et al., Adv. Math. 260, 565--613 (2014; Zbl 1293.35301) Full Text: DOI
Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. I: Its WKB-theoretic transformation to the Mathieu equation. (English) Zbl 1293.35300 Adv. Math. 260, 458-564 (2014). MSC: 35Q55 37K10 34B30 34M60 81Q20 PDF BibTeX XML Cite \textit{S. Kamimoto} et al., Adv. Math. 260, 458--564 (2014; Zbl 1293.35300) Full Text: DOI
Caplan, R. M.; Carretero-González, R. A modulus-squared Dirichlet boundary condition for time-dependent complex partial differential equations and its application to the nonlinear Schrödinger equation. (English) Zbl 1290.65072 SIAM J. Sci. Comput. 36, No. 1, A1-A19 (2014). MSC: 65M06 35Q55 PDF BibTeX XML Cite \textit{R. M. Caplan} and \textit{R. Carretero-González}, SIAM J. Sci. Comput. 36, No. 1, A1--A19 (2014; Zbl 1290.65072) Full Text: DOI