Hennig, Dirk; Karachalios, Nikos I.; Cuevas-Maraver, Jesús The closeness of the Ablowitz-Ladik lattice to the discrete nonlinear Schrödinger equation. (English) Zbl 07486719 J. Differ. Equations 316, 346-363 (2022). MSC: 35Qxx 39Axx 78Axx PDF BibTeX XML Cite \textit{D. Hennig} et al., J. Differ. Equations 316, 346--363 (2022; Zbl 07486719) Full Text: DOI arXiv OpenURL
Khan, Yasir Maclaurin series method for fractal differential-difference models arising in coupled nonlinear optical waveguides. (English) Zbl 1481.78012 Fractals 29, No. 1, Article ID 2150004, 7 p. (2021). MSC: 78A50 78A40 28A80 45D05 39A36 PDF BibTeX XML Cite \textit{Y. Khan}, Fractals 29, No. 1, Article ID 2150004, 7 p. (2021; Zbl 1481.78012) Full Text: DOI OpenURL
Kapanadze, David The far-field behaviour of Green’s function for a triangular lattice and radiation conditions. (English) Zbl 1478.78026 Math. Methods Appl. Sci. 44, No. 17, 12746-12759 (2021). MSC: 78A45 35J05 39A14 34B27 PDF BibTeX XML Cite \textit{D. Kapanadze}, Math. Methods Appl. Sci. 44, No. 17, 12746--12759 (2021; Zbl 1478.78026) Full Text: DOI OpenURL
Gutiérrez, Cristian E.; Sabra, Ahmad On the existence of dichromatic single element lenses. (English) Zbl 1436.78001 Danielli, Donatella (ed.) et al., Advances in harmonic analysis and partial differential equations. AMS special session, Northeastern University, Boston, MA, USA, April 21–22, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 748, 99-145 (2020). MSC: 78A05 39B72 34K10 PDF BibTeX XML Cite \textit{C. E. Gutiérrez} and \textit{A. Sabra}, Contemp. Math. 748, 99--145 (2020; Zbl 1436.78001) Full Text: DOI arXiv OpenURL
Danielli, Donatella (ed.); Mitrea, Irina (ed.) Advances in harmonic analysis and partial differential equations. AMS special session, Northeastern University, Boston, MA, USA, April 21–22, 2018. (English) Zbl 1441.35006 Contemporary Mathematics 748. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4896-7/pbk; 978-1-4704-5516-3/ebook). vii, 210 p. (2020). MSC: 35-06 31A10 33C10 35G20 35P20 35S05 39B72 42B35 46E30 76D03 78A05 00B25 PDF BibTeX XML Cite \textit{D. Danielli} (ed.) and \textit{I. Mitrea} (ed.), Advances in harmonic analysis and partial differential equations. AMS special session, Northeastern University, Boston, MA, USA, April 21--22, 2018. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1441.35006) Full Text: DOI OpenURL
Sharma, Basant Lal Transmission of waves across atomic step discontinuities in discrete nanoribbon structures. (English) Zbl 1447.78009 Z. Angew. Math. Phys. 71, No. 2, Paper No. 73, 27 p. (2020). Reviewer: Eric Stachura (Marietta) MSC: 78A45 39A14 47A40 74S20 74J20 45E10 47B35 78A50 78A40 PDF BibTeX XML Cite \textit{B. L. Sharma}, Z. Angew. Math. Phys. 71, No. 2, Paper No. 73, 27 p. (2020; Zbl 1447.78009) Full Text: DOI arXiv OpenURL
Zabarankin, Michael; Grechuk, Bogdan Matrix difference equations in applied mathematics. (English) Zbl 1432.39002 SIAM J. Appl. Math. 80, No. 2, 753-771 (2020). MSC: 39A13 31B20 31B30 74B05 76D07 78A30 PDF BibTeX XML Cite \textit{M. Zabarankin} and \textit{B. Grechuk}, SIAM J. Appl. Math. 80, No. 2, 753--771 (2020; Zbl 1432.39002) Full Text: DOI OpenURL
Luo, Zhihuan; Luo, Weiwen; Pang, Wei; Mai, Zhijie; Li, Yongyao; Malomed, Boris A. Hybrid matter-wave – microwave solitons on the lattice. (English) Zbl 1450.81071 Commun. Nonlinear Sci. Numer. Simul. 77, 168-180 (2019). MSC: 81V73 81R25 82D10 78A37 35Q40 35J08 35C08 39A12 PDF BibTeX XML Cite \textit{Z. Luo} et al., Commun. Nonlinear Sci. Numer. Simul. 77, 168--180 (2019; Zbl 1450.81071) Full Text: DOI arXiv OpenURL
Hong, Younghun; Yang, Changhun Uniform Strichartz estimates on the lattice. (English) Zbl 1433.35365 Discrete Contin. Dyn. Syst. 39, No. 6, 3239-3264 (2019). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q55 37K60 39A14 35Q53 35Q41 78A50 PDF BibTeX XML Cite \textit{Y. Hong} and \textit{C. Yang}, Discrete Contin. Dyn. Syst. 39, No. 6, 3239--3264 (2019; Zbl 1433.35365) Full Text: DOI arXiv OpenURL
Kapanadze, David Exterior diffraction problems for two-dimensional square lattice. (English) Zbl 1414.78005 Z. Angew. Math. Phys. 69, No. 5, Paper No. 123, 17 p. (2018). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A45 35J05 39A14 39A60 78M20 PDF BibTeX XML Cite \textit{D. Kapanadze}, Z. Angew. Math. Phys. 69, No. 5, Paper No. 123, 17 p. (2018; Zbl 1414.78005) Full Text: DOI OpenURL
Wu, Xiao-Yu; Tian, Bo; Liu, Lei; Sun, Yan Bright and dark solitons for a discrete (2+1)-dimensional Ablowitz-Ladik equation for the nonlinear optics and Bose-Einstein condensation. (English) Zbl 1448.81535 Commun. Nonlinear Sci. Numer. Simul. 50, 201-210 (2017). MSC: 81V80 81V73 35Q55 35C08 82B26 78A60 39A12 68W30 PDF BibTeX XML Cite \textit{X.-Y. Wu} et al., Commun. Nonlinear Sci. Numer. Simul. 50, 201--210 (2017; Zbl 1448.81535) Full Text: DOI OpenURL
Ben, Roberto I.; Borgna, Juan Pablo; Panayotaros, Panayotis Properties of some breather solutions of a nonlocal discrete NLS equation. (English) Zbl 1456.37081 Commun. Math. Sci. 15, No. 8, 2143-2175 (2017). MSC: 37K60 39A36 35Q55 47J10 47J30 78A60 PDF BibTeX XML Cite \textit{R. I. Ben} et al., Commun. Math. Sci. 15, No. 8, 2143--2175 (2017; Zbl 1456.37081) Full Text: DOI OpenURL
Kubyshin, Yu. A.; Larreal, O.; Ramírez-Ros, R.; Seara, T. M. Stability of the phase motion in race-track microtrons. (English) Zbl 1376.78006 Physica D 349, 12-26 (2017). MSC: 78A55 37N20 37M05 39A30 PDF BibTeX XML Cite \textit{Yu. A. Kubyshin} et al., Physica D 349, 12--26 (2017; Zbl 1376.78006) Full Text: DOI arXiv OpenURL
Choi, Mi-Ran; Hundertmark, Dirk; Lee, Young-Ran Discrete diffraction managed solitons: threshold phenomena and rapid decay for general nonlinearities. (English) Zbl 1374.78027 J. Math. Phys. 58, No. 10, 101513, 43 p. (2017). MSC: 78A45 78A60 35Q55 39A12 49J20 35C08 PDF BibTeX XML Cite \textit{M.-R. Choi} et al., J. Math. Phys. 58, No. 10, 101513, 43 p. (2017; Zbl 1374.78027) Full Text: DOI arXiv Link OpenURL
Cheng, Ming; Pankov, Alexander Gap solitons in periodic Schrödinger lattice system with nonlinear hopping. (English) Zbl 1353.35257 Electron. J. Differ. Equ. 2016, Paper No. 287, 14 p. (2016). MSC: 35Q55 35Q51 39A12 39A70 78A40 PDF BibTeX XML Cite \textit{M. Cheng} and \textit{A. Pankov}, Electron. J. Differ. Equ. 2016, Paper No. 287, 14 p. (2016; Zbl 1353.35257) Full Text: Link OpenURL
Sharma, Basant Lal Wave propagation in bifurcated waveguides of square lattice strips. (English) Zbl 1371.78071 SIAM J. Appl. Math. 76, No. 4, 1355-1381 (2016). Reviewer: Hongpeng Sun (Beijing) MSC: 78A45 39A14 47A40 74S20 74J20 45E10 47B35 78A50 PDF BibTeX XML Cite \textit{B. L. Sharma}, SIAM J. Appl. Math. 76, No. 4, 1355--1381 (2016; Zbl 1371.78071) Full Text: DOI OpenURL
Sharma, Basant Lal Discrete Sommerfeld diffraction problems on hexagonal lattice with a zigzag semi-infinite crack and rigid constraint. (English) Zbl 1336.78009 Z. Angew. Math. Phys. 66, No. 6, 3591-3625 (2015). MSC: 78A45 39A14 47B35 74H10 65T50 74J20 45E10 35J05 PDF BibTeX XML Cite \textit{B. L. Sharma}, Z. Angew. Math. Phys. 66, No. 6, 3591--3625 (2015; Zbl 1336.78009) Full Text: DOI OpenURL
Sharma, Basant Lal Near-tip field for diffraction on square lattice by rigid constraint. (English) Zbl 1327.78013 Z. Angew. Math. Phys. 66, No. 5, 2719-2740 (2015). MSC: 78A45 39A14 47B35 PDF BibTeX XML Cite \textit{B. L. Sharma}, Z. Angew. Math. Phys. 66, No. 5, 2719--2740 (2015; Zbl 1327.78013) Full Text: DOI OpenURL
Kashimov, A. B. Mathematical models of the scattering dielectric objects. (Russian. English summary) Zbl 1359.78013 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 8, No. 1, 88-99 (2015). Reviewer: David Kapanadze (Tbilisi) MSC: 78A45 39B42 PDF BibTeX XML Cite \textit{A. B. Kashimov}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 8, No. 1, 88--99 (2015; Zbl 1359.78013) Full Text: DOI OpenURL
Sharma, Basant Lal Diffraction of waves on square lattice by semi-infinite crack. (English) Zbl 1322.78010 SIAM J. Appl. Math. 75, No. 3, 1171-1192 (2015). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A45 39A14 47A40 74S20 74H10 74J20 47A68 78M20 PDF BibTeX XML Cite \textit{B. L. Sharma}, SIAM J. Appl. Math. 75, No. 3, 1171--1192 (2015; Zbl 1322.78010) Full Text: DOI Link OpenURL
Jorgensen, Palle; Tian, Feng Infinite networks and variation of conductance functions in discrete Laplacians. (English) Zbl 1328.35257 J. Math. Phys. 56, No. 4, 043506, 27 p. (2015). MSC: 35R02 35J05 39A70 35P05 47B25 78A55 PDF BibTeX XML Cite \textit{P. Jorgensen} and \textit{F. Tian}, J. Math. Phys. 56, No. 4, 043506, 27 p. (2015; Zbl 1328.35257) Full Text: DOI arXiv OpenURL
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 arXiv OpenURL
Schwaha, P.; Nedjalkov, M.; Selberherr, S.; Sellier, J. M.; Dimov, I.; Georgieva, R. Stochastic formulation of Newton’s acceleration. (English) Zbl 1446.81024 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 9th international conference, LSSC 2013, Sozopol, Bulgaria, June 3–7, 2013. Revised selected papers. Berlin: Springer. Lect. Notes Comput. Sci. 8353, 178-185 (2014). MSC: 81S30 35Q20 78A30 39A12 PDF BibTeX XML Cite \textit{P. Schwaha} et al., Lect. Notes Comput. Sci. 8353, 178--185 (2014; Zbl 1446.81024) Full Text: DOI OpenURL
Ma, Shiwang; Wang, Zhi-Qiang Multibump solutions for discrete periodic nonlinear Schrödinger equations. (English) Zbl 1280.35139 Z. Angew. Math. Phys. 64, No. 5, 1413-1442 (2013). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q55 35Q51 39A12 39A70 78A40 PDF BibTeX XML Cite \textit{S. Ma} and \textit{Z.-Q. Wang}, Z. Angew. Math. Phys. 64, No. 5, 1413--1442 (2013; Zbl 1280.35139) Full Text: DOI OpenURL
Achilleos, V.; Álvarez, A.; Cuevas, J.; Frantzeskakis, D. J.; Karachalios, N. I.; Kevrekidis, P. G.; Sánchez-Rey, B. Escape dynamics in the discrete repulsive \({\phi}^4\) model. (English) Zbl 1308.35260 Physica D 244, No. 1, 1-24 (2013). MSC: 35Q55 39A12 78A37 81Q05 35B32 35C08 35B35 81Q10 PDF BibTeX XML Cite \textit{V. Achilleos} et al., Physica D 244, No. 1, 1--24 (2013; Zbl 1308.35260) Full Text: DOI arXiv OpenURL
Kenyon, R. The Laplacian on planar graphs and graphs on surfaces. (English) Zbl 1316.05087 Jerison, David (ed.) et al., Current developments in mathematics, 2011. Papers based on selected lectures given at the current development mathematics conference, Harvard University, Cambridge, MA, USA, November 2011. Somerville, MA: International Press (ISBN 978-1-57146-239-8/pbk). 1-55 (2012). MSC: 05C50 39A70 78A46 PDF BibTeX XML Cite \textit{R. Kenyon}, in: Current developments in mathematics, 2011. Papers based on selected lectures given at the current development mathematics conference, Harvard University, Cambridge, MA, USA, November 2011. Somerville, MA: International Press. 1--55 (2012; Zbl 1316.05087) Full Text: arXiv OpenURL
Zhang, Guoping Recent advances in the discrete nonlinear Schrödinger equation with unbounded potential. (English) Zbl 1298.35210 Pac. J. Appl. Math. 4, No. 2, 117-123 (2012). MSC: 35Q55 35Q51 37L60 39A12 39A70 47J30 78A40 PDF BibTeX XML Cite \textit{G. Zhang}, Pac. J. Appl. Math. 4, No. 2, 117--123 (2012; Zbl 1298.35210) OpenURL
Sadurní, E. Exact propagators on the lattice with applications to diffractive effects. (English) Zbl 1258.81031 J. Phys. A, Math. Theor. 45, No. 46, Article ID 465302, 19 p. (2012). MSC: 81Q05 39A12 78A45 PDF BibTeX XML Cite \textit{E. Sadurní}, J. Phys. A, Math. Theor. 45, No. 46, Article ID 465302, 19 p. (2012; Zbl 1258.81031) Full Text: DOI arXiv OpenURL
Tawfik, Sherif A. Localized states in an ultracold atomic gas trapped in a bichromatic potential: the effect of a time-varying phase. (English) Zbl 1253.81057 Commun. Nonlinear Sci. Numer. Simul. 17, No. 9, 3552-3557 (2012). MSC: 81Q05 82D05 82B44 35Q55 39A12 78A37 PDF BibTeX XML Cite \textit{S. A. Tawfik}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 9, 3552--3557 (2012; Zbl 1253.81057) Full Text: DOI OpenURL
Achilleos, V.; Theocharis, G.; Kevrekidis, P. G.; Karachalios, N. I.; Diakonos, F. K.; Frantzeskakis, D. J. Stationary states of a nonlinear Schrödinger lattice with a harmonic trap. (English) Zbl 1272.35172 J. Math. Phys. 52, No. 9, 092701, 25 p. (2011). MSC: 35Q55 39A12 78A37 81Q05 35B32 35C08 35B35 81Q10 PDF BibTeX XML Cite \textit{V. Achilleos} et al., J. Math. Phys. 52, No. 9, 092701, 25 p. (2011; Zbl 1272.35172) Full Text: DOI arXiv Link OpenURL
Zhang, Guoping; Qiao, Zhijun Cusp solitons of the Degasperis-Procesi equation. (English) Zbl 1229.35279 Nonlinear Stud. 17, No. 4, 339-346 (2010). MSC: 35Q55 35Q51 39A12 39A70 47J30 78A40 35Q53 35B40 35C07 PDF BibTeX XML Cite \textit{G. Zhang} and \textit{Z. Qiao}, Nonlinear Stud. 17, No. 4, 339--346 (2010; Zbl 1229.35279) OpenURL
Lyalinov, M. A.; Zhu, N. Y.; Smyshlyaev, V. P. Scattering of a plane electromagnetic wave by a hollow circular cone with thin semi-transparent walls. (English) Zbl 1214.35067 IMA J. Appl. Math. 75, No. 5, 676-719 (2010). MSC: 35Q60 35J05 78A45 39A14 65R20 35C15 PDF BibTeX XML Cite \textit{M. A. Lyalinov} et al., IMA J. Appl. Math. 75, No. 5, 676--719 (2010; Zbl 1214.35067) Full Text: DOI Link OpenURL
Zhang, Guoping; Pankov, Alexander Standing wave solutions of the discrete non-linear Schrödinger equations with unbounded potentials. II. (English) Zbl 1387.35558 Appl. Anal. 89, No. 9, 1541-1557 (2010). MSC: 35Q55 35Q51 47J30 34A33 37L60 39A12 58E05 78A40 PDF BibTeX XML Cite \textit{G. Zhang} and \textit{A. Pankov}, Appl. Anal. 89, No. 9, 1541--1557 (2010; Zbl 1387.35558) Full Text: DOI OpenURL
Bhat, H. S.; Osting, B. Diffraction on the two-dimensional square lattice. (English) Zbl 1200.78007 SIAM J. Appl. Math. 70, No. 5, 1389-1406 (2009). MSC: 78A45 39A14 39A60 35J05 PDF BibTeX XML Cite \textit{H. S. Bhat} and \textit{B. Osting}, SIAM J. Appl. Math. 70, No. 5, 1389--1406 (2009; Zbl 1200.78007) Full Text: DOI OpenURL
He, Ying-Ji; Malomed, Boris A. Surface waves and boundary effects in DNLS equations. (English) Zbl 1181.39007 Kevrekidis, Panayotis G., The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives. Berlin: Springer (ISBN 978-3-540-89198-7/hbk; 978-3-540-89199-4/ebook). Springer Tracts in Modern Physics 232, 259-275 (2009). MSC: 39A12 35Q55 78A50 37K10 PDF BibTeX XML Cite \textit{Y.-J. He} and \textit{B. A. Malomed}, Springer Tracts Mod. Phys. 232, 259--275 (2009; Zbl 1181.39007) Full Text: DOI OpenURL
Kevrekidis, Panayotis G. Formation of localized modes in DNLS. (English) Zbl 1181.39009 Kevrekidis, Panayotis G., The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives. Berlin: Springer (ISBN 978-3-540-89198-7/hbk; 978-3-540-89199-4/ebook). Springer Tracts in Modern Physics 232, 235-247 (2009). MSC: 39A12 35Q55 78A50 37K10 PDF BibTeX XML Cite \textit{P. G. Kevrekidis}, Springer Tracts Mod. Phys. 232, 235--247 (2009; Zbl 1181.39009) Full Text: DOI OpenURL
Porter, Mason A. Experimental results related to DNLS equations. (English) Zbl 1181.39011 Kevrekidis, Panayotis G., The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives. Berlin: Springer (ISBN 978-3-540-89198-7/hbk; 978-3-540-89199-4/ebook). Springer Tracts in Modern Physics 232, 175-189 (2009). MSC: 39A12 35Q55 78A50 37K10 PDF BibTeX XML Cite \textit{M. A. Porter}, Springer Tracts Mod. Phys. 232, 175--189 (2009; Zbl 1181.39011) Full Text: DOI OpenURL
Kevrekidis, Panayotis G. Multicomponent DNLS equations. (English) Zbl 1181.39008 Kevrekidis, Panayotis G., The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives. Berlin: Springer (ISBN 978-3-540-89198-7/hbk; 978-3-540-89199-4/ebook). Springer Tracts in Modern Physics 232, 153-171 (2009). MSC: 39A12 35Q55 78A15 37K10 PDF BibTeX XML Cite \textit{P. G. Kevrekidis}, Springer Tracts Mod. Phys. 232, 153--171 (2009; Zbl 1181.39008) Full Text: DOI OpenURL
Shieh, Shih-Feng Horseshoes for coupled discrete nonlinear Schrödinger equations. (English) Zbl 1202.37025 J. Math. Phys. 50, No. 2, 022701, 13 p. (2009). MSC: 37D05 37L60 39A10 78A60 PDF BibTeX XML Cite \textit{S.-F. Shieh}, J. Math. Phys. 50, No. 2, 022701, 13 p. (2009; Zbl 1202.37025) Full Text: DOI OpenURL
Lakshmanan, M.; Saxena, Avadh Dynamic and static excitations of a classical discrete anisotropic Heisenberg ferromagnetic spin chain. (English) Zbl 1143.35379 Physica D 237, No. 7, 885-897 (2008). MSC: 35Q60 39A12 35Q51 78A30 35B10 PDF BibTeX XML Cite \textit{M. Lakshmanan} and \textit{A. Saxena}, Physica D 237, No. 7, 885--897 (2008; Zbl 1143.35379) Full Text: DOI arXiv OpenURL
Pankov, A. Gap solitons in periodic discrete nonlinear Schrödinger equations. II: A generalized Nehari manifold approach. (English) Zbl 1220.35164 Discrete Contin. Dyn. Syst. 19, No. 2, 419-430 (2007). MSC: 35Q55 35Q51 39A12 39A70 78A40 PDF BibTeX XML Cite \textit{A. Pankov}, Discrete Contin. Dyn. Syst. 19, No. 2, 419--430 (2007; Zbl 1220.35164) Full Text: DOI OpenURL
Antipov, Y. A.; Silvestrov, V. V. Method of integral equations for systems of difference equations in diffraction theory. (English) Zbl 1180.78021 IMA J. Appl. Math. 72, No. 6, 681-705 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 78A45 39A05 PDF BibTeX XML Cite \textit{Y. A. Antipov} and \textit{V. V. Silvestrov}, IMA J. Appl. Math. 72, No. 6, 681--705 (2007; Zbl 1180.78021) Full Text: DOI Link OpenURL
Codecasa, Lorenzo; Trevisan, Francesco Constitutive equations for discrete electromagnetic problems over polyhedral grids. (English) Zbl 1127.78002 J. Comput. Phys. 225, No. 2, 1894-1918 (2007). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A25 39A12 78A97 PDF BibTeX XML Cite \textit{L. Codecasa} and \textit{F. Trevisan}, J. Comput. Phys. 225, No. 2, 1894--1918 (2007; Zbl 1127.78002) Full Text: DOI OpenURL
Pankov, A. Gap solitons in periodic discrete nonlinear Schrödinger equations. (English) Zbl 1220.35163 Nonlinearity 19, No. 1, 27-40 (2006). MSC: 35Q55 35Q51 39A12 39A70 78A40 PDF BibTeX XML Cite \textit{A. Pankov}, Nonlinearity 19, No. 1, 27--40 (2006; Zbl 1220.35163) Full Text: DOI arXiv OpenURL
Antipov, Y. A.; Silvestrov, V. V. Electromagnetic scattering from an anisotropic impedance half-plane at oblique incidence: the exact solution. (English) Zbl 1136.78006 Q. J. Mech. Appl. Math. 59, No. 2, 211-251 (2006). Reviewer: Johannes Elschner (Berlin) MSC: 78A45 39A05 PDF BibTeX XML Cite \textit{Y. A. Antipov} and \textit{V. V. Silvestrov}, Q. J. Mech. Appl. Math. 59, No. 2, 211--251 (2006; Zbl 1136.78006) Full Text: DOI OpenURL
McGurn, A. R. Intrinsic localized modes in photonic crystal waveguides composed of a periodic mixed array of linear and Kerr nonlinear dielectric media. (English) Zbl 1097.78012 Physica D 216, No. 1, 103-114 (2006). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 78A50 78A45 39A70 78A60 PDF BibTeX XML Cite \textit{A. R. McGurn}, Physica D 216, No. 1, 103--114 (2006; Zbl 1097.78012) Full Text: DOI OpenURL
Bateman, Michael D.; Van Vleck, Erik S. Traveling wave solutions to a coupled system of spatially discrete Nagumo equations. (English) Zbl 1101.92005 SIAM J. Appl. Math. 66, No. 3, 945-976 (2006). Reviewer: Igor Gumowski (Thoiry) MSC: 92C20 92C05 35K57 39A12 78A70 PDF BibTeX XML Cite \textit{M. D. Bateman} and \textit{E. S. Van Vleck}, SIAM J. Appl. Math. 66, No. 3, 945--976 (2006; Zbl 1101.92005) Full Text: DOI Link OpenURL
Moeser, Jamison T. Diffraction managed solitons: asymptotic validity and excitation thresholds. (English) Zbl 1086.35014 Nonlinearity 18, No. 5, 2275-2297 (2005). MSC: 35B40 39A12 49J40 78A45 35Q51 35Q55 PDF BibTeX XML Cite \textit{J. T. Moeser}, Nonlinearity 18, No. 5, 2275--2297 (2005; Zbl 1086.35014) Full Text: DOI OpenURL
Peřinová, Vlasta; Lukš, Antonín Difference equations for photon-number distribution in the stationary regime of a random laser. (English) Zbl 1117.39323 Elaydi, Saber (ed.) et al., Proceedings of the 8th international conference on difference equations and applications (ICDEA 2003), Masaryk University, Brno, Czech Republic, July 28–August 1, 2003. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-536-X/hbk). 219-226 (2005). MSC: 39A12 39A11 78A60 PDF BibTeX XML Cite \textit{V. Peřinová} and \textit{A. Lukš}, in: Proceedings of the 8th international conference on difference equations and applications (ICDEA 2003), Masaryk University, Brno, Czech Republic, July 28--August 1, 2003. Boca Raton, FL: Chapman \& Hall/CRC. 219--226 (2005; Zbl 1117.39323) OpenURL
Dumas, H. Scott; Ellison, James A.; Vogt, Mathias First-order averaging principles for maps with applications to accelerator beam dynamics. (English) Zbl 1147.37345 SIAM J. Appl. Dyn. Syst. 3, No. 4, 409-432 (2004). MSC: 37J40 39A11 70K65 70H11 78A35 PDF BibTeX XML Cite \textit{H. S. Dumas} et al., SIAM J. Appl. Dyn. Syst. 3, No. 4, 409--432 (2004; Zbl 1147.37345) Full Text: DOI arXiv OpenURL
Antipov, Y. A.; Silvestrov, V. V. Second-order functional-difference equations. II: Scattering from a right-angled conductive wedge for \(E\)-polarization. (English) Zbl 1064.39017 Q. J. Mech. Appl. Math. 57, No. 2, 267-313 (2004). Reviewer: Wan-Tong Li (Lanzhou) MSC: 39A12 78A45 PDF BibTeX XML Cite \textit{Y. A. Antipov} and \textit{V. V. Silvestrov}, Q. J. Mech. Appl. Math. 57, No. 2, 267--313 (2004; Zbl 1064.39017) Full Text: DOI OpenURL
Antipov, Y. A.; Silvestrov, V. V. Vector functional-difference equation in electromagnetic scattering. (English) Zbl 1059.78013 IMA J. Appl. Math. 69, No. 1, 27-69 (2004). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 78A45 30D05 30E25 30F30 34K10 39B72 PDF BibTeX XML Cite \textit{Y. A. Antipov} and \textit{V. V. Silvestrov}, IMA J. Appl. Math. 69, No. 1, 27--69 (2004; Zbl 1059.78013) Full Text: DOI Link OpenURL
Lyalinov, Mikhail A.; Zhu, Ning Yan A solution procedure for second-order difference equations and its application to electromagnetic-wave diffraction in a wedge-shaped region. (English) Zbl 1092.78008 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2040, 3159-3180 (2003). MSC: 78A45 39A05 PDF BibTeX XML Cite \textit{M. A. Lyalinov} and \textit{N. Y. Zhu}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2040, 3159--3180 (2003; Zbl 1092.78008) Full Text: DOI OpenURL
Legault, Stéphane R.; Senior, Thomas B. A. Solution of a second order difference equation using the bilinear relations of Riemann. (English) Zbl 1059.39002 J. Math. Phys. 43, No. 3, 1598-1621 (2002). MSC: 39A10 30E20 78A45 PDF BibTeX XML Cite \textit{S. R. Legault} and \textit{T. B. A. Senior}, J. Math. Phys. 43, No. 3, 1598--1621 (2002; Zbl 1059.39002) Full Text: DOI Link OpenURL
Chakvetadze, G. S. Topological and metric properties of a one-dimensional dynamical system in laser physics. (English. Russian original) Zbl 1036.37032 Sb. Math. 193, No. 8, 1203-1242 (2002); translation from Mat. Sb. 193, No. 8, 101-140 (2002). MSC: 37N20 78A60 37E05 37D45 39B12 37B10 PDF BibTeX XML Cite \textit{G. S. Chakvetadze}, Sb. Math. 193, No. 8, 1203--1242 (2002; Zbl 1036.37032); translation from Mat. Sb. 193, No. 8, 101--140 (2002) Full Text: DOI OpenURL
Buyalo, S. V. Metrics of nonpositive curvature on graph-manifolds and electromagnetic fields on graphs. (English. Russian original) Zbl 1072.58019 J. Math. Sci., New York 119, No. 2, 141-164 (2004); translation from Zap. Nauchn. Semin. POMI 280, 28-72 (2001). MSC: 58J42 78A25 39A12 53C21 58B34 PDF BibTeX XML Cite \textit{S. V. Buyalo}, J. Math. Sci., New York 119, No. 2, 141--164 (2001; Zbl 1072.58019); translation from Zap. Nauchn. Semin. POMI 280, 28--72 (2001) Full Text: DOI arXiv OpenURL
Senior, Thomas B. A.; Legault, Stéphane; Volakis, John L. A novel technique for the solutions of second-order difference equations. (English) Zbl 1001.78024 IEEE Trans. Antennas Propag. 49, No. 12, 1612-1617 (2001). MSC: 78M20 39A10 78A45 PDF BibTeX XML Cite \textit{T. B. A. Senior} et al., IEEE Trans. Antennas Propag. 49, No. 12, 1612--1617 (2001; Zbl 1001.78024) Full Text: DOI OpenURL
Kapitula, Todd; Kevrekidis, Panayotis Stability of waves in discrete systems. (English) Zbl 1001.37080 Nonlinearity 14, No. 3, 533-566 (2001). Reviewer: Jan Cholewa (Katowice) MSC: 37K45 37K10 35R10 39A12 78A60 PDF BibTeX XML Cite \textit{T. Kapitula} and \textit{P. Kevrekidis}, Nonlinearity 14, No. 3, 533--566 (2001; Zbl 1001.37080) Full Text: DOI OpenURL
Rybin, Andrei; Timonen, Jussi; Varzugin, Gennadii; Bullough, Robin K. \(q\)-deformed solitons and quantum solitons of the Maxwell-Bloch lattice. (English) Zbl 0967.81077 J. Phys. A, Math. Gen. 34, No. 1, 157-164 (2001). MSC: 81V80 78A60 81R50 37K99 39A12 81R12 PDF BibTeX XML Cite \textit{A. Rybin} et al., J. Phys. A, Math. Gen. 34, No. 1, 157--164 (2001; Zbl 0967.81077) Full Text: DOI arXiv OpenURL
Klimov, V. S. Symmetrization of anisotropic integral functionals. (English. Russian original) Zbl 1011.31003 Russ. Math. 43, No. 8, 23-29 (1999); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1999, No. 8, 26-32 (1999). MSC: 31B15 26D10 39B99 78A99 PDF BibTeX XML Full Text: DOI OpenURL
Loveikin, A. V. Distribution of an electrostatic field near a trihedral angle. (Ukrainian) Zbl 0931.78004 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 9, 26-30 (1998). MSC: 78A30 39B42 PDF BibTeX XML Cite \textit{A. V. Loveikin}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 9, 26--30 (1998; Zbl 0931.78004) OpenURL
Škrinjar, M.; Budinčević, M.; Kapor, D. The solution of the system of difference equations appearing in the theory of surface magnetism. (English) Zbl 0948.39005 Herceg, D. (ed.) et al., PRIM ’96. Proceedings of the XI conference on applied mathematics, Budva, Yugoslavia, June 3-6, 1996. Novi Sad: Univ. of Novi Sad, Fac. of Science, Inst. of Math. 399-409 (1997). Reviewer: Boško Jovanović (Beograd) MSC: 39A11 15A24 78A30 39A10 PDF BibTeX XML Cite \textit{M. Škrinjar} et al., in: PRIM '96. Proceedings of the XI conference on applied mathematics, Budva, Yugoslavia, June 3-6, 1996. Novi Sad: Univ. of Novi Sad, Fac. of Science, Inst. of Math.. 399--409 (1997; Zbl 0948.39005) OpenURL
Muradyan, M. G. Analytical solution of the radiation-transfer problem in a periodic medium. (English. Russian original) Zbl 0941.81056 Comput. Math. Math. Phys. 37, No. 7, 770-774 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 7, 794-798 (1997). Reviewer: Alexey Tretiakov (Siedlce) MSC: 81V10 39B42 78A40 PDF BibTeX XML Cite \textit{M. G. Muradyan}, Comput. Math. Math. Phys. 37, No. 7, 794--798 (1997; Zbl 0941.81056); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 7, 794--798 (1997) OpenURL
Lyalinov, M. A. Explicit solvability of a class of Maliuzhinets’ equations with matrix coefficients. (English) Zbl 0928.39011 J. Phys. A, Math. Gen. 30, No. 23, L797-L802 (1997). MSC: 39B42 78A45 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, J. Phys. A, Math. Gen. 30, No. 23, L797--L802 (1997; Zbl 0928.39011) Full Text: DOI OpenURL
Galanin, M. P. An estimate for the boundaries of the spectrum of a difference operator for problems in quasistationary electrodynamics. (English. Russian original) Zbl 1159.78308 Comput. Math. Math. Phys. 36, No. 3, 373-378 (1996); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 3, 109-116 (1996). MSC: 78A35 35Q60 39A70 65M12 PDF BibTeX XML Cite \textit{M. P. Galanin}, Comput. Math. Math. Phys. 36, No. 3, 373--378 (1996; Zbl 1159.78308); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 3, 109--116 (1996) OpenURL
Idemen, Mithat; Akduman, Ibrahim One-dimensional profile inversion of a half-space over a two-part impedance ground. (English) Zbl 0949.78006 IEEE Trans. Antennas Propag. 44, No. 7, 933-942 (1996). MSC: 78A45 65R20 39B72 45D05 PDF BibTeX XML Cite \textit{M. Idemen} and \textit{I. Akduman}, IEEE Trans. Antennas Propag. 44, No. 7, 933--942 (1996; Zbl 0949.78006) Full Text: DOI OpenURL
Tryhuk, Václav Functional equations and a theoretical model of DLTS. (English) Zbl 0848.39005 Appl. Math., Praha 40, No. 6, 473-482 (1995). Reviewer: J.Aczél (Waterloo / Ontario) MSC: 39B22 78A55 PDF BibTeX XML Cite \textit{V. Tryhuk}, Appl. Math., Praha 40, No. 6, 473--482 (1995; Zbl 0848.39005) Full Text: EuDML OpenURL
Lyalinov, M. A. Perturbation method in eletromagnetic vector problems of diffraction by a wedge. (Russian. English summary) Zbl 0888.35118 Babich, V. M. (ed.), Mathematical questions of the theory of wave propagation. 25. Work collection. Sankt-Peterburg: Nauka. Zap. Nauchn. Semin. POMI. 230, 138-156 (1995). MSC: 35Q60 78A45 47H09 39B62 PDF BibTeX XML OpenURL
Lyalinov, M. A. Method of perturbations in vector eletromagnetic problems of diffraction by a wedge. (English. Russian original) Zbl 0902.35113 J. Math. Sci., New York 91, No. 2, 2790-2801 (1998); translation from Zap. Nauchn. Semin. POMI 230, 138-156 (1995). MSC: 35Q60 78A45 47H09 39B62 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, J. Math. Sci., New York 91, No. 2, 2790--2801 (1995; Zbl 0902.35113); translation from Zap. Nauchn. Semin. POMI 230, 138--156 (1995) Full Text: DOI OpenURL
Lyalinov, M. A.; Vardapetyan, L. G. Diffraction of a plane electromagnetic wave obliquely incident upon the edge of a wedge with a dielectric coating. (English. Russian original) Zbl 0933.78005 J. Math. Sci., New York 86, No. 3, 2705-2720 (1997); translation from Zap. Nauchn. Semin. POMI 218, 72-95 (1994). MSC: 78A45 39B05 PDF BibTeX XML Cite \textit{M. A. Lyalinov} and \textit{L. G. Vardapetyan}, J. Math. Sci., New York 86, No. 3, 1 (1994; Zbl 0933.78005); translation from Zap. Nauchn. Semin. POMI 218, 72--95 (1994) Full Text: DOI OpenURL
Figotin, A. Existence of gaps in the spectrum of periodic dielectric structures on a lattice. (English) Zbl 1102.82305 J. Stat. Phys. 73, No. 3-4, 571-585 (1993). MSC: 82B20 78A25 39A12 PDF BibTeX XML Cite \textit{A. Figotin}, J. Stat. Phys. 73, No. 3--4, 571--585 (1993; Zbl 1102.82305) Full Text: DOI OpenURL
Molina, M. I.; Tsironis, G. P. Dynamics of self-trapping in the discrete nonlinear Schrödinger equation. (English) Zbl 0772.35068 Physica D 65, No. 3, 267-273 (1993). MSC: 35Q55 39A12 78A40 PDF BibTeX XML Cite \textit{M. I. Molina} and \textit{G. P. Tsironis}, Physica D 65, No. 3, 267--273 (1993; Zbl 0772.35068) Full Text: DOI OpenURL
Cooper, Jeffery Long-time behavior and energy growth for electromagnetic waves reflected by a moving boundary. (English) Zbl 0944.78510 IEEE Trans. Antennas Propag. 41, No. 10, 1365-1370 (1993). MSC: 78A40 39B12 35Q60 PDF BibTeX XML Cite \textit{J. Cooper}, IEEE Trans. Antennas Propag. 41, No. 10, 1365--1370 (1993; Zbl 0944.78510) Full Text: DOI OpenURL
Bykov, A. A. The pivotal-condensation method for solving stiff boundary value problems for systems of linear difference equations. (English. Russian original) Zbl 0702.65097 U.S.S.R. Comput. Math. Math. Phys. 29, No. 2, 21-31 (1989); translation from Zh. Vychisl. Mat. Mat. Fiz. 29, No. 3, 355-370 (1989). MSC: 65Q05 39A10 78A45 PDF BibTeX XML Cite \textit{A. A. Bykov}, U.S.S.R. Comput. Math. Math. Phys. 29, No. 2, 21--31 (1989; Zbl 0702.65097); translation from Zh. Vychisl. Mat. Mat. Fiz. 29, No. 3, 355--370 (1989) Full Text: DOI OpenURL
Lee, Robert L.; Madsen, Niel K. A staggered-grid finite element solution technique for the Maxwell’s equations in the time domain. (English) Zbl 0676.73047 Wave phenomena. Theoretical, computational, and practical aspects, Proc. 1st Woodward Conf., San Jose/Calif. 1988, 140-146 (1989). Reviewer: E.Nicolau MSC: 74S05 74F15 78A45 49M15 39A12 PDF BibTeX XML OpenURL
Bassanini, Piero On a functional equation arising in transmission problems. (Italian. English summary) Zbl 0601.39010 Boll. Unione Mat. Ital., VI. Ser., A 5, 435-441 (1986). Reviewer: St.Fenyö MSC: 39B99 78A40 PDF BibTeX XML Cite \textit{P. Bassanini}, Boll. Unione Mat. Ital., VI. Ser., A 5, 435--441 (1986; Zbl 0601.39010) OpenURL
Hooshyar, M. A.; Razavy, M. A method for constructing wave velocity and density profiles from the angular dependence of the reflection coefficient. (English) Zbl 0509.73028 J. Acoust. Soc. Am. 73, 19-23 (1983). MSC: 74J25 39A10 35L05 78A45 PDF BibTeX XML Cite \textit{M. A. Hooshyar} and \textit{M. Razavy}, J. Acoust. Soc. Am. 73, 19--23 (1983; Zbl 0509.73028) Full Text: DOI OpenURL
Göldner, Klaus Über ein Stabilitätsproblem bei der z-Transformation. (German) Zbl 0449.65084 Wiss. Z. Tech. Hochsch. Karl-Marx-Stadt 22, 307-310 (1980). MSC: 65Q05 93C55 44A15 39A10 78A25 PDF BibTeX XML Cite \textit{K. Göldner}, Wiss. Z. Tech. Hochsch. Karl-Marx-Stadt 22, 307--310 (1980; Zbl 0449.65084) OpenURL
Koshparenok, V. N.; Shestopalov, V. P. Partial inversion of the operator for summator functional equations with the kernel in the form of periodic Mathieu functions. (English. Russian original) Zbl 0421.33009 Sov. Phys., Dokl. 23, 235-237 (1978); translation from Dokl. Akad. Nauk SSSR 239, 811-814 (1978). MSC: 33E10 39B05 78A40 PDF BibTeX XML Cite \textit{V. N. Koshparenok} and \textit{V. P. Shestopalov}, Sov. Phys., Dokl. 23, 235--237 (1978; Zbl 0421.33009); translation from Dokl. Akad. Nauk SSSR 239, 811--814 (1978) OpenURL
Bishop, A. R. (ed.); Schneider, T. (ed.) [Bullough, R. K.; Dodd, R. K.; Kitchenside, P. W.et al; Eilbeck, J. C.; Newell, A. C.; Gibbon, J.; Degasperis, A.; Calogero, F.; Karney, C. F. F.; Krumhansl, J. A.] Solitons and condensed matter physics. Proceedings of the symposium on nonlinear (soliton) structure and dynamics in condensed matter. Oxford, England, June 27-29, 1978. (English) Zbl 0387.76002 Springer Series in Solid-State Sciences. 8. Berlin-Heidelberg-New York: Springer Verlag. XI, 341 p., 120 figs. DM 59.00; $ 32.50 (1978). MSC: 76-06 35F20 39A10 35Q99 76B25 74J20 76L05 78A10 81T08 70H99 35A25 35R30 PDF BibTeX XML OpenURL
Guseinov, G. S. The inverse problem of scattering theory for a second-order difference equation on the whole axis. (English. Russian original) Zbl 0398.39002 Sov. Math., Dokl. 17(1976), 1684-1688 (1977); translation from Dokl. Akad. Nauk SSSR 231, 1045-1048 (1976). MSC: 39A10 65Q05 39A70 35P25 35R30 78A45 81U20 PDF BibTeX XML Cite \textit{G. S. Guseinov}, Sov. Math., Dokl. 17, 1684--1688 (1976; Zbl 0398.39002); translation from Dokl. Akad. Nauk SSSR 231, 1045--1048 (1976) OpenURL
Èskina, M. S. Aufgabe der Streuung für partielle Differenzengleichungen. (Russian) Zbl 0184.31901 Mat. Fiz. 3, 248-273 (1967). MSC: 39A14 78A46 PDF BibTeX XML Cite \textit{M. S. Èskina}, Mat. Fiz. 3, 248--273 (1967; Zbl 0184.31901) OpenURL