Fu, Yayun; Cai, Wenjun; Wang, Yushun A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach. (English) Zbl 07310780 Appl. Numer. Math. 160, 368-385 (2021). MSC: 35K 35R 65M PDF BibTeX XML Cite \textit{Y. Fu} et al., Appl. Numer. Math. 160, 368--385 (2021; Zbl 07310780) Full Text: DOI
Rogers, Colin; Schief, Wolfgang K.; Malomed, Boris On modulated coupled systems. Canonical reduction via reciprocal transformations. (English) Zbl 1450.35010 Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105091, 12 p. (2020). MSC: 35A22 35G50 35C08 PDF BibTeX XML Cite \textit{C. Rogers} et al., Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105091, 12 p. (2020; Zbl 1450.35010) Full Text: DOI
Sarfraz, H.; Saleem, U. Supersymmetric integrable AB system. (English) Zbl 1432.37091 Mod. Phys. Lett. A 35, No. 6, Article ID 2050023, 7 p. (2020). MSC: 37K10 35Q53 37K40 PDF BibTeX XML Cite \textit{H. Sarfraz} and \textit{U. Saleem}, Mod. Phys. Lett. A 35, No. 6, Article ID 2050023, 7 p. (2020; Zbl 1432.37091) Full Text: DOI
Semenov, Mikhail E.; Reshetova, Olga O.; Tolkachev, Akim V.; Solovyov, Andrey M.; Meleshenko, Peter A. Oscillations under hysteretic conditions: from simple oscillator to discrete sine-Gordon model. (English) Zbl 1452.70017 Belhaq, Mohamed (ed.), Topics in nonlinear mechanics and physics. Selected papers from CSNDD 2018, the 4th international conference on structural nonlinear dynamics and diagnosis, Tangier, Morocco, June 25–27, 2018. Singapore: Springer. Springer Proc. Phys. 228, 229-253 (2019). MSC: 70K30 70F40 70L05 PDF BibTeX XML Cite \textit{M. E. Semenov} et al., Springer Proc. Phys. 228, 229--253 (2019; Zbl 1452.70017) Full Text: DOI
Brooks, Jacob; Derks, Gianne; Lloyd, David J. B. Existence of stationary fronts in a system of two coupled wave equations with spatial inhomogeneity. (English) Zbl 1433.37069 Nonlinearity 32, No. 11, 4147-4187 (2019). Reviewer: Jesús Hernández (Madrid) MSC: 37K50 35B25 35B32 35L71 PDF BibTeX XML Cite \textit{J. Brooks} et al., Nonlinearity 32, No. 11, 4147--4187 (2019; Zbl 1433.37069) Full Text: DOI
Kiselev, O. M.; Novokshenov, V. Yu. Autoresonance in a model of a terahertz wave generator. (English. Russian original) Zbl 1433.78011 Proc. Steklov Inst. Math. 301, Suppl. 1, S88-S102 (2018); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 23, No. 2, 117-132 (2017). MSC: 78A40 35Q53 78A55 35Q51 35C20 78M35 82D55 PDF BibTeX XML Cite \textit{O. M. Kiselev} and \textit{V. Yu. Novokshenov}, Proc. Steklov Inst. Math. 301, S88--S102 (2018; Zbl 1433.78011); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 23, No. 2, 117--132 (2017) Full Text: DOI
Jiao, Zhe; Xu, Yong Local convergence and speed estimates for semilinear wave systems damped by boundary friction. (English) Zbl 1394.35046 J. Math. Anal. Appl. 462, No. 1, 590-600 (2018). MSC: 35B40 35L71 35L53 93D15 PDF BibTeX XML Cite \textit{Z. Jiao} and \textit{Y. Xu}, J. Math. Anal. Appl. 462, No. 1, 590--600 (2018; Zbl 1394.35046) Full Text: DOI
Amrein, Mario; Wihler, Thomas P. Adaptive pseudo-transient-continuation-Galerkin methods for semilinear elliptic partial differential equations. (English) Zbl 1384.65082 Numer. Methods Partial Differ. Equations 33, No. 6, 2005-2022 (2017). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N15 35J61 35B25 65N50 PDF BibTeX XML Cite \textit{M. Amrein} and \textit{T. P. Wihler}, Numer. Methods Partial Differ. Equations 33, No. 6, 2005--2022 (2017; Zbl 1384.65082) Full Text: DOI arXiv
Ivey, Thomas A.; Landsberg, Joseph M. Cartan for beginners. Differential geometry via moving frames and exterior differential systems. 2nd edition. (English) Zbl 1361.53001 Graduate Studies in Mathematics 175. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-0986-9/hbk; 978-1-4704-3591-2/ebook). xviii, 453 p. (2016). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53-01 53A05 58A15 53A20 53C10 53C05 34C41 PDF BibTeX XML Cite \textit{T. A. Ivey} and \textit{J. M. Landsberg}, Cartan for beginners. Differential geometry via moving frames and exterior differential systems. 2nd edition. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1361.53001) Full Text: DOI
Liu, Hanze; Li, Jibin Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations. (English) Zbl 1302.37034 J. Comput. Appl. Math. 257, 144-156 (2014). MSC: 37K05 37K50 34C37 35C05 35C07 PDF BibTeX XML Cite \textit{H. Liu} and \textit{J. Li}, J. Comput. Appl. Math. 257, 144--156 (2014; Zbl 1302.37034) Full Text: DOI
Wu, Xinyuan; Wang, Bin; Shi, Wei Efficient energy-preserving integrators for oscillatory Hamiltonian systems. (English) Zbl 1291.65363 J. Comput. Phys. 235, 587-605 (2013). MSC: 65P10 34C15 37M15 PDF BibTeX XML Cite \textit{X. Wu} et al., J. Comput. Phys. 235, 587--605 (2013; Zbl 1291.65363) Full Text: DOI
Ha, Junhong; Gutman, Semion Identifiability for linearized sine-Gordon equation. (English) Zbl 1260.35168 Math. Model. Nat. Phenom. 8, No. 1, 106-121 (2013). MSC: 35Q53 93B30 44A10 42A38 PDF BibTeX XML Cite \textit{J. Ha} and \textit{S. Gutman}, Math. Model. Nat. Phenom. 8, No. 1, 106--121 (2013; Zbl 1260.35168) Full Text: DOI
Sakhnovich, Alexander Sine-Gordon theory in a semi-strip. (English) Zbl 1231.35046 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 2, 964-974 (2012). MSC: 35G31 37K15 34A55 34B20 34L40 PDF BibTeX XML Cite \textit{A. Sakhnovich}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 2, 964--974 (2012; Zbl 1231.35046) Full Text: DOI arXiv
Scimiterna, C.; Grammaticos, B.; Ramani, A. On two integrable lattice equations and their interpretation. (English) Zbl 1213.37107 J. Phys. A, Math. Theor. 44, No. 3, Article ID 032002, 6 p. (2011). Reviewer: Radu Precup (Cluj-Napoca) MSC: 37K60 PDF BibTeX XML Cite \textit{C. Scimiterna} et al., J. Phys. A, Math. Theor. 44, No. 3, Article ID 032002, 6 p. (2011; Zbl 1213.37107) Full Text: DOI
Yang, Jianke Nonlinear waves in integrable and nonintegrable systems. (English) Zbl 1234.35006 Mathematical Modeling and Computation 16. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898717-05-1/pbk; 978-0-89871-968-0/ebook). xxvi, 430 p. (2010). Reviewer: Georg Hebermehl (Berlin) MSC: 35-02 37-02 65-02 35Q55 35Q41 35Q51 35J10 35P10 37K10 37K15 65N25 65N35 37K40 78A60 82C10 PDF BibTeX XML Cite \textit{J. Yang}, Nonlinear waves in integrable and nonintegrable systems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2010; Zbl 1234.35006) Full Text: DOI
Gomes, J. F.; de Melo, G. R.; Ymai, L. H.; Zimerman, A. H. Nonautonomous mixed mKdV-sinh-Gordon hierarchy. (English) Zbl 1201.35169 J. Phys. A, Math. Theor. 43, No. 39, Article ID 395203, 9 p. (2010). MSC: 35Q53 35Q55 37K30 PDF BibTeX XML Cite \textit{J. F. Gomes} et al., J. Phys. A, Math. Theor. 43, No. 39, Article ID 395203, 9 p. (2010; Zbl 1201.35169) Full Text: DOI
Isojima, Shin; Satsuma, Junkichi On oscillatory solutions of the ultradiscrete sine-Gordon equation. (English) Zbl 1278.39006 JSIAM Lett. 1, 25-27 (2009). MSC: 39A12 39A10 39A21 35Q51 37K40 PDF BibTeX XML Cite \textit{S. Isojima} and \textit{J. Satsuma}, JSIAM Lett. 1, 25--27 (2009; Zbl 1278.39006) Full Text: DOI Link
Isojima, Shin; Konno, Tomoyuki; Satsuma, Junkichi On oscillatory solutions in ultradiscrete system. (English) Zbl 1244.39011 RIMS Kôkyûroku Bessatsu B13, 85-93 (2009). Reviewer: Ondřej Došlý (Brno) MSC: 39A21 39A10 39A12 35Q35 PDF BibTeX XML Cite \textit{S. Isojima} et al., RIMS Kôkyûroku Bessatsu B13, 85--93 (2009; Zbl 1244.39011)
Zhao, Caidi; Zhou, Shengfan Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications. (English) Zbl 1192.37106 J. Math. Anal. Appl. 354, No. 1, 78-95 (2009). Reviewer: Hans Crauel (Frankfurt) MSC: 37L55 37L60 60H99 PDF BibTeX XML Cite \textit{C. Zhao} and \textit{S. Zhou}, J. Math. Anal. Appl. 354, No. 1, 78--95 (2009; Zbl 1192.37106) Full Text: DOI
Hassan, M. Darboux transformation of the generalized coupled dispersionless integrable system. (English) Zbl 1161.37045 J. Phys. A, Math. Theor. 42, No. 6, Article ID 065203, 11 p. (2009). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37K10 37K30 35K35 35Q53 PDF BibTeX XML Cite \textit{M. Hassan}, J. Phys. A, Math. Theor. 42, No. 6, Article ID 065203, 11 p. (2009; Zbl 1161.37045) Full Text: DOI arXiv
Qu, Chang-Zheng; Li, Yan-Yan Higher-dimensional integrable systems arising from motions of curves on \(S^2(R)\) and \(S^3(R)\). (English) Zbl 1392.37066 Commun. Theor. Phys. 50, No. 4, 841-843 (2008). MSC: 37K25 35Q53 PDF BibTeX XML Cite \textit{C.-Z. Qu} and \textit{Y.-Y. Li}, Commun. Theor. Phys. 50, No. 4, 841--843 (2008; Zbl 1392.37066) Full Text: DOI
Park, Joonsang Lorentzian surfaces with constant curvatures and transformations in the 3-dimensional Lorentzian space. (English) Zbl 1140.53008 J. Korean Math. Soc. 45, No. 1, 41-61 (2008). MSC: 53B25 53B30 53A05 PDF BibTeX XML Cite \textit{J. Park}, J. Korean Math. Soc. 45, No. 1, 41--61 (2008; Zbl 1140.53008) Full Text: DOI
Zhao, Guanghui; Zhang, Nianmei; Yang, Guitong Analysis of breather state in thin bar by using collective coordinates. (English) Zbl 1165.74006 Appl. Math. Mech., Engl. Ed. 27, No. 12, 1597-1605 (2006). MSC: 74A60 74K10 74H65 PDF BibTeX XML Cite \textit{G. Zhao} et al., Appl. Math. Mech., Engl. Ed. 27, No. 12, 1597--1605 (2006; Zbl 1165.74006) Full Text: DOI
Babin, A.; Figotin, A. Linear superposition in nonlinear wave dynamics. (English) Zbl 1120.82010 Rev. Math. Phys. 18, No. 9, 971-1053 (2006). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C20 35L60 58C15 47J07 35Q53 34C15 37K60 35Q51 35Q60 39A12 PDF BibTeX XML Cite \textit{A. Babin} and \textit{A. Figotin}, Rev. Math. Phys. 18, No. 9, 971--1053 (2006; Zbl 1120.82010) Full Text: DOI arXiv
Bobenko, A. I.; Matthes, D.; Suris, Yu. B. Nonlinear hyperbolic equations in surface theory: integrable discretizations and approximation results. (English) Zbl 1098.53005 St. Petersbg. Math. J. 17, No. 1, 39-61 (2006) and Algebra Anal. 17, No. 1, 53-83 (2005). Reviewer: Iskander A. Taimanov (Novosibirsk) MSC: 53A10 37K10 37K25 35L70 35Q53 PDF BibTeX XML Cite \textit{A. I. Bobenko} et al., St. Petersbg. Math. J. 17, No. 1, 39--61 (2006; Zbl 1098.53005) Full Text: DOI arXiv
Zhao, Guang-Hui; Zhang, Nian-Mei; Yang, Gui-Tong Nonlinear complex dynamic phenomena of the perturbed metallic bar considering dissipating effect. (English) Zbl 1144.74329 Appl. Math. Mech., Engl. Ed. 26, No. 2, 142-149 (2005). MSC: 74H45 74K10 74S20 74J05 74M05 74H10 PDF BibTeX XML Cite \textit{G.-H. Zhao} et al., Appl. Math. Mech., Engl. Ed. 26, No. 2, 142--149 (2005; Zbl 1144.74329) Full Text: DOI
Matthes, Daniel Discrete surfaces and coordinate systems. Approximation theorems and computation. (English) Zbl 1244.53002 Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss. 2003). 126 p. (2004). MSC: 53-02 53-04 53A05 52B70 PDF BibTeX XML Cite \textit{D. Matthes}, Discrete surfaces and coordinate systems. Approximation theorems and computation. Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss. 2003) (2004; Zbl 1244.53002) Full Text: Link
Nakagiri, Shin-ichi; Ha, Junhong Constant parameters identification problems of coupled sine-Gordon equations. (English) Zbl 1160.93322 Isozaki, Hiroshi (ed.), Inverse problems and spectral theory. Proceedings of the workshop on spectral theory of differential operators and inverse problems, Kyoto University, Kyoto, Japan, October 28–November 1, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3421-5/pbk). Contemporary Mathematics 348, 77-91 (2004). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 93B30 49J50 49N45 49K20 35Q53 93C20 PDF BibTeX XML Cite \textit{S.-i. Nakagiri} and \textit{J. Ha}, Contemp. Math. 348, 77--91 (2004; Zbl 1160.93322)
Schief, W. K.; Rogers, C. The kinematics of fibre-reinforced fluids. An integrable reduction. (English) Zbl 1081.76057 Q. J. Mech. Appl. Math. 56, No. 4, 493-512 (2003). MSC: 76T20 76A99 35Q51 PDF BibTeX XML Cite \textit{W. K. Schief} and \textit{C. Rogers}, Q. J. Mech. Appl. Math. 56, No. 4, 493--512 (2003; Zbl 1081.76057) Full Text: DOI
Ivey, Thomas A.; Landsberg, J. M. Cartan for beginners: Differential geometry via moving frames and exterior differential systems. (English) Zbl 1105.53001 Graduate Studies in Mathematics 61. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3375-8/hbk). xiv, 378 p. (2003). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 53-01 58A15 53A20 53C10 53C05 34C41 PDF BibTeX XML Cite \textit{T. A. Ivey} and \textit{J. M. Landsberg}, Cartan for beginners: Differential geometry via moving frames and exterior differential systems. Providence, RI: American Mathematical Society (AMS) (2003; Zbl 1105.53001)
Moore, Brian; Reich, Sebastian Backward error analysis for multi-symplectic integration methods. (English) Zbl 1033.65113 Numer. Math. 95, No. 4, 625-652 (2003). Reviewer: Manuel Calvo (Zaragoza) MSC: 65P10 37K05 37M15 35L70 35Q53 PDF BibTeX XML Cite \textit{B. Moore} and \textit{S. Reich}, Numer. Math. 95, No. 4, 625--652 (2003; Zbl 1033.65113) Full Text: DOI
Quintero, Niurka R.; Kevrekidis, P. G. The parametrically modified sine-Gordon equation: Spectral properties, collisions, resonances and their connection to integrability. (English) Zbl 1002.35109 Physica D 170, No. 1, 31-49 (2002). MSC: 35Q53 37K40 PDF BibTeX XML Cite \textit{N. R. Quintero} and \textit{P. G. Kevrekidis}, Physica D 170, No. 1, 31--49 (2002; Zbl 1002.35109) Full Text: DOI
Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I. Interaction of sine-Gordon kinks with defects: Phase space transport in a two-mode model. (English) Zbl 0985.35074 Physica D 161, No. 1-2, 21-44 (2002). MSC: 35Q53 37J45 82C21 PDF BibTeX XML Cite \textit{R. H. Goodman} et al., Physica D 161, No. 1--2, 21--44 (2002; Zbl 0985.35074) Full Text: DOI
Lambert, Franklin; Springael, Johan On a direct procedure for the disclosure of Lax pairs and Bäcklund transformations. (English) Zbl 1005.37043 Chaos Solitons Fractals 12, No. 14-15, 2821-2832 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37K35 37K10 35A25 35Q53 PDF BibTeX XML Cite \textit{F. Lambert} and \textit{J. Springael}, Chaos Solitons Fractals 12, No. 14--15, 2821--2832 (2001; Zbl 1005.37043) Full Text: DOI
Lu, Xiaowu Symplectic schemes for quasilinear wave equations of Klein-Gordon and sine-Gordon type. (English) Zbl 1008.65093 J. Comput. Math. 19, No. 5, 475-488 (2001). MSC: 65P10 37M15 65M06 35Q53 PDF BibTeX XML Cite \textit{X. Lu}, J. Comput. Math. 19, No. 5, 475--488 (2001; Zbl 1008.65093)
Speight, J. M. Instability of breathers in the topological discrete sine-Gordon system. (English) Zbl 0992.37069 Nonlinearity 14, No. 4, 843-848 (2001). Reviewer: Dimitar A.Kolev (Sofia) MSC: 37K60 70K20 70K42 PDF BibTeX XML Cite \textit{J. M. Speight}, Nonlinearity 14, No. 4, 843--848 (2001; Zbl 0992.37069) Full Text: DOI arXiv
Zubova, Elena A.; Balabaev, N. K. Dynamics of soliton-like excitations in a chain of a polymer crystal: Influence of neighbouring chains mobility. (English) Zbl 0981.82037 J. Nonlinear Math. Phys. 8, Suppl., 305-311 (2001). MSC: 82D60 35Q55 PDF BibTeX XML Cite \textit{E. A. Zubova} and \textit{N. K. Balabaev}, J. Nonlinear Math. Phys. 8, 305--311 (2001; Zbl 0981.82037) Full Text: DOI
Lu, Xiaowu Symplectic computation of solitary waves for general sine-Gordon equations. (English) Zbl 0987.65132 Math. Comput. Simul. 55, No. 4-6, 519-532 (2001). Reviewer: Erwin Schechter (Kaiserslautern) MSC: 65P10 37M15 37K10 65M06 35L70 35Q53 37K45 PDF BibTeX XML Cite \textit{X. Lu}, Math. Comput. Simul. 55, No. 4--6, 519--532 (2001; Zbl 0987.65132) Full Text: DOI
Cieśliński, Jan L.; Aminov, Yuriy A. A geometric interpretation of the spectral problem for the generalized sine-Gordon system. (English) Zbl 0992.37059 J. Phys. A, Math. Gen. 34, No. 13, L153-L159 (2001). Reviewer: Dimitar A.Kolev (Sofia) MSC: 37K10 35Q55 PDF BibTeX XML Cite \textit{J. L. Cieśliński} and \textit{Y. A. Aminov}, J. Phys. A, Math. Gen. 34, No. 13, L153--L159 (2001; Zbl 0992.37059) Full Text: DOI
Cieśliński, Jan L. How isothermic surfaces helped to understand other integrable systems. (English) Zbl 1087.53006 Rend. Semin. Mat. Messina, Ser. II Suppl., 135-147 (2000). MSC: 53A07 35Q58 37K25 PDF BibTeX XML Cite \textit{J. L. Cieśliński}, Rend. Semin. Mat. Messina, Ser. II Suppl., 135--147 (2000; Zbl 1087.53006)
Grunspan, C. On integrals of motion of the discrete sine-Gordon system. (Sur les intégrales de mouvement du système de sinus-Gordon discret.) (French) Zbl 0981.81060 Lett. Math. Phys. 54, No. 2, 101-121 (2000). MSC: 81T25 70S10 35Q53 81T10 PDF BibTeX XML Cite \textit{C. Grunspan}, Lett. Math. Phys. 54, No. 2, 101--121 (2000; Zbl 0981.81060) Full Text: DOI
Lou, Senyue Symmetry analysis and exact solutions of the \(2+1\) dimensional sine-Gordon system. (English) Zbl 0976.35067 J. Math. Phys. 41, No. 9, 6509-6524 (2000). MSC: 35Q53 37K40 35L70 PDF BibTeX XML Cite \textit{S. Lou}, J. Math. Phys. 41, No. 9, 6509--6524 (2000; Zbl 0976.35067) Full Text: DOI
Balakrishnan, Radha Two-branch energy of magnetic surfaces and connection with anholonomy. (English) Zbl 0978.82031 Int. J. Mod. Phys. B 14, No. 19-20, 2083-2091 (2000). MSC: 82B21 82D40 37K60 PDF BibTeX XML Cite \textit{R. Balakrishnan}, Int. J. Mod. Phys. B 14, No. 19--20, 2083--2091 (2000; Zbl 0978.82031) Full Text: DOI
Mattsson, Peter; Dorey, Patrick Boundary spectrum in the sine-Gordon model with Dirichlet boundary conditions. (English) Zbl 1032.81533 J. Phys. A, Math. Gen. 33, No. 49, 9065-9093 (2000). MSC: 81T10 81R12 37K99 PDF BibTeX XML Cite \textit{P. Mattsson} and \textit{P. Dorey}, J. Phys. A, Math. Gen. 33, No. 49, 9065--9093 (2000; Zbl 1032.81533) Full Text: DOI arXiv
Shatah, Jalal; Zeng, Chongchun Homoclinic orbits for the perturbed sine-Gordon equation. (English) Zbl 1033.35107 Commun. Pure Appl. Math. 53, No. 3, 283-299 (2000). Reviewer: Bruno Scarpellini (Basel) MSC: 35Q53 37K50 37K99 PDF BibTeX XML Cite \textit{J. Shatah} and \textit{C. Zeng}, Commun. Pure Appl. Math. 53, No. 3, 283--299 (2000; Zbl 1033.35107) Full Text: DOI
Xin, J. X. Modeling light bullets with the two-dimensional sine-Gordon equation. (English) Zbl 0936.78006 Physica D 135, No. 3-4, 345-368 (2000). MSC: 78A60 35Q60 35Q53 PDF BibTeX XML Cite \textit{J. X. Xin}, Physica D 135, No. 3--4, 345--368 (2000; Zbl 0936.78006) Full Text: DOI
Penn-Karras, Gabriele Classification of linear Weingarten surfaces in space forms. (Klassifikation linearer Weingartenflächen in Raumformen.) (German) Zbl 1003.53009 Berlin: TU Berlin, FB Mathematik, 115 S. (1999). Reviewer: Udo Hertrich-Jeromin (Berlin) MSC: 53A10 35Q53 53A05 53B25 53B30 37K25 PDF BibTeX XML Cite \textit{G. Penn-Karras}, Klassifikation linearer Weingartenflächen in Raumformen. Berlin: TU Berlin, FB Mathematik (1999; Zbl 1003.53009)
Ruan, Hangyu; Chen, Yixin The study of dromion interactions of \((2+1)\)-dimensional integrable systems. (English) Zbl 0939.37046 J. Math. Phys. 40, No. 1, 248-255 (1999). MSC: 37K10 37N10 PDF BibTeX XML Cite \textit{H. Ruan} and \textit{Y. Chen}, J. Math. Phys. 40, No. 1, 248--255 (1999; Zbl 0939.37046) Full Text: DOI
Hoffmann, Tim Discrete Amsler surfaces and a discrete Painlevé III equation. (English) Zbl 0944.53006 Bobenko, Alexander I. (ed.) et al., Discrete integrable geometry and physics. Based on the conference on condensed matter physics and discrete geometry, Vienna, Austria, February 1996. Oxford: Clarendon Press. Oxf. Lect. Ser. Math. Appl. 16, 83-96 (1999). Reviewer: Thomas Ivey (Charleston) MSC: 53A10 35K35 35Q53 39A10 PDF BibTeX XML Cite \textit{T. Hoffmann}, Oxf. Lect. Ser. Math. Appl. 16, 83--96 (1999; Zbl 0944.53006)
Bobenko, Alexander I.; Seiler, Ruedi Introduction to: Discrete integrable geometry and physics. (English) Zbl 0936.37027 Bobenko, Alexander I. (ed.) et al., Discrete integrable geometry and physics. Based on the conference on condensed matter physics and discrete geometry, Vienna, Austria, February 1996. Oxford: Clarendon Press. Oxf. Lect. Ser. Math. Appl. 16, xvii-xxvii (1999). Reviewer: V.A.Yumaguzhin (Pereslavl’-Zalesskij) MSC: 37J35 37N20 35-02 35Q58 PDF BibTeX XML Cite \textit{A. I. Bobenko} and \textit{R. Seiler}, Oxf. Lect. Ser. Math. Appl. 16, xvii-xxvii (1999; Zbl 0936.37027)
Terng, Chuu-Lian; Uhlenbeck, Karen Introduction (to Surveys in Differential Geometry. Vol. IV: Integrable systems). (English) Zbl 0938.35182 Terng, Chuu Lian (ed.) et al., Surveys in differential geometry. Vol. IV. A supplement to the Journal of Differential Geometry. Integral systems (integrable systems). Lectures on geometry and topology. Cambridge, MA: International Press. 5-19 (1998). Reviewer: V.A.Yumaguzhin (Pereslavl’-Zalesskij) MSC: 35Q58 37K25 35Q53 PDF BibTeX XML Cite \textit{C.-L. Terng} and \textit{K. Uhlenbeck}, in: Surveys in differential geometry. Vol. IV: Integral systems [Integrable systems]. Lectures on geometry and topology. Cambridge, MA: International Press. 5--19 (1998; Zbl 0938.35182)
Bazhanov, Vladimir V.; Lukyanov, Sergei L.; Zamolodchikov, Alexander B. Integrable structure of conformal field theory. II: \(Q\)-operator and DDV equation. (English) Zbl 0908.35114 Commun. Math. Phys. 190, No. 2, 247-278 (1997). MSC: 35Q53 81R10 81T40 PDF BibTeX XML Cite \textit{V. V. Bazhanov} et al., Commun. Math. Phys. 190, No. 2, 247--278 (1997; Zbl 0908.35114) Full Text: DOI arXiv
Schief, W. K. On the geometry of an integrable \((2+1)\)-dimensional sine-Gordon system. (English) Zbl 0953.35128 Proc. R. Soc. Lond., Ser. A 453, No. 1963, 1671-1688 (1997). MSC: 35Q53 37K10 53A05 PDF BibTeX XML Cite \textit{W. K. Schief}, Proc. R. Soc. Lond., Ser. A 453, No. 1963, 1671--1688 (1997; Zbl 0953.35128) Full Text: DOI
Nimmo, J. J. C.; Schief, W. K. Superposition principles associated with the Moutard transformation: An integrable discretization of a \((2+1)\)-dimensional sine-Gordon system. (English) Zbl 0867.35086 Proc. R. Soc. Lond., Ser. A 453, No. 1957, 255-279 (1997). MSC: 35Q53 39A12 65M06 PDF BibTeX XML Cite \textit{J. J. C. Nimmo} and \textit{W. K. Schief}, Proc. R. Soc. Lond., Ser. A 453, No. 1957, 255--279 (1997; Zbl 0867.35086) Full Text: DOI
Novokshenov, V. Yu. Whitham gap dynamics of the real-valued solution of the sine-Gordon equation with finite-gap boundary conditions. (English. Russian original) Zbl 0884.35142 Funct. Anal. Appl. 30, No. 4, 246-256 (1996); translation from Funkts. Anal. Prilozh. 30, No. 4, 31-44 (1996). Reviewer: D.Bainov (Sofia) MSC: 35Q53 35B40 PDF BibTeX XML Cite \textit{V. Yu. Novokshenov}, Funct. Anal. Appl. 30, No. 4, 246--256 (1996; Zbl 0884.35142); translation from Funkts. Anal. Prilozh. 30, No. 4, 31--44 (1996) Full Text: DOI
Guerrero, L. E.; Rangel, R. Noise-induced organization in a sine-Gordon chain. (English) Zbl 0900.35322 Chaos Solitons Fractals 6, 151-155 (1995). MSC: 35Q51 35Q53 35R60 PDF BibTeX XML Cite \textit{L. E. Guerrero} and \textit{R. Rangel}, Chaos Solitons Fractals 6, 151--155 (1995; Zbl 0900.35322) Full Text: DOI
Rangel, R.; Guerrero, L. E. Anomalous roughening in a random sine Gordon chain. (English) Zbl 0868.35105 Fractals 3, No. 3, 533-539 (1995). MSC: 35Q53 35R60 PDF BibTeX XML Cite \textit{R. Rangel} and \textit{L. E. Guerrero}, Fractals 3, No. 3, 533--539 (1995; Zbl 0868.35105) Full Text: DOI
Kryukov, S. V. Integrals of motion for the classical sine-Gordon lattice system. (English. Russian original) Zbl 0865.58060 Theor. Math. Phys. 105, No. 2, 1359-1368 (1995); translation from Teor. Mat. Fiz. 105, No. 2, 214-224 (1995). MSC: 58Z05 81U40 81S05 PDF BibTeX XML Cite \textit{S. V. Kryukov}, Theor. Math. Phys. 105, No. 2, 1359--1368 (1995; Zbl 0865.58060); translation from Teor. Mat. Fiz. 105, No. 2, 214--224 (1995) Full Text: DOI
Enriquez, B.; Feigin, B. L. Integrals of motion of the classical lattice sine-Gordon system. (English) Zbl 0855.35113 Theor. Math. Phys. 103, No. 3, 738-756 (1995) and Teor. Mat. Fiz. 103, No. 3, 507-528 (1995). MSC: 35Q53 81T25 82B20 PDF BibTeX XML Cite \textit{B. Enriquez} and \textit{B. L. Feigin}, Theor. Math. Phys. 103, No. 3, 738--756 (1995) and Teor. Mat. Fiz. 103, No.~3, 507--528 (1995; Zbl 0855.35113) Full Text: DOI arXiv
Pascual, P. J.; Jiménez, S.; Vázquez, L. Numerical simulations of a nonlinear Klein-Gordon model. Applications. (English) Zbl 0872.65079 Garrido, Pedro L. (ed.) et al., Third Granada lectures in computational physics. Proceedings of the III Granada seminar on computational physics, held at Granada, Spain, 5-10 September 1994. Berlin: Springer-Verlag. Lect. Notes Phys. 448, 211-270 (1995). MSC: 65M06 35Q51 35Q53 PDF BibTeX XML Cite \textit{P. J. Pascual} et al., Lect. Notes Phys. 448, 211--270 (1995; Zbl 0872.65079)
Johnston, M. E.; Rogers, C.; Schief, W. K.; Seiler, W. M. On moving pseudospherical surfaces: a generalised Weingarten system and its formal analysis. (English) Zbl 0937.53009 Lie Groups Appl. 1, No. 1, 124-136 (1994). MSC: 53A05 37K10 35Q53 53C44 PDF BibTeX XML Cite \textit{M. E. Johnston} et al., Lie Groups Appl. 1, No. 1, 124--136 (1994; Zbl 0937.53009)
Musette, M.; Conte, R. Riccati pseudopotential of AKNS two-family nlPDEs by Painlevé analysis. (English) Zbl 0850.35101 Theor. Math. Phys. 99, No. 3, 738-744 (1994) and Teor. Mat. Fiz. 99, No. 3, 478-486 (1994). MSC: 35Q53 58J72 PDF BibTeX XML Cite \textit{M. Musette} and \textit{R. Conte}, Theor. Math. Phys. 99, No. 3, 738--744 (1994) and Teor. Mat. Fiz. 99, No.~3, 478--486 (1994; Zbl 0850.35101) Full Text: DOI
Speight, J. M.; Ward, R. S. Kink dynamics in a novel discrete sine-Gordon system. (English) Zbl 0840.35098 Nonlinearity 7, No. 2, 475-484 (1994). MSC: 35Q53 37J35 37K10 35Q51 PDF BibTeX XML Cite \textit{J. M. Speight} and \textit{R. S. Ward}, Nonlinearity 7, No. 2, 475--484 (1994; Zbl 0840.35098) Full Text: DOI
Schief, W. K. On a \(2+1\)-dimensional integrable Ernst-type equation. (English) Zbl 0815.35099 Proc. R. Soc. Lond., Ser. A 446, No. 1927, 381-398 (1994). MSC: 35Q53 58J72 PDF BibTeX XML Cite \textit{W. K. Schief}, Proc. R. Soc. Lond., Ser. A 446, No. 1927, 381--398 (1994; Zbl 0815.35099) Full Text: DOI
Schief, W. K. On a \(2+1\)-dimensional Darboux system: Integrable reductions. (English) Zbl 0809.35116 Inverse Probl. 10, No. 5, 1185-1198 (1994). MSC: 35Q53 37J35 37K10 58J72 PDF BibTeX XML Cite \textit{W. K. Schief}, Inverse Probl. 10, No. 5, 1185--1198 (1994; Zbl 0809.35116) Full Text: DOI
Grotta Ragazzo, C. Chaos and integrability in a nonlinear wave equation. (English) Zbl 0802.34044 J. Dyn. Differ. Equations 6, No. 1, 227-244 (1994). Reviewer: N.Joshi (Kensigton) MSC: 34C25 34C37 35L70 37J99 37J35 37K10 37D45 37G99 34C27 34C28 PDF BibTeX XML Cite \textit{C. Grotta Ragazzo}, J. Dyn. Differ. Equations 6, No. 1, 227--244 (1994; Zbl 0802.34044) Full Text: DOI
Konopelchenko, B. G.; Rogers, C. On generalized Loewner systems: Novel integrable equations in 2+1 dimensions. (English) Zbl 0767.35087 J. Math. Phys. 34, No. 1, 214-242 (1993). MSC: 35Q58 58J72 35Q53 35Q55 PDF BibTeX XML Cite \textit{B. G. Konopelchenko} and \textit{C. Rogers}, J. Math. Phys. 34, No. 1, 214--242 (1993; Zbl 0767.35087) Full Text: DOI
Herbst, B. M.; Ablowitz, M. J. Numerical homoclinic instabilities in the sine-Gordon equation. (English) Zbl 0785.65086 Quaest. Math. 15, No. 3, 345-363 (1992). Reviewer: M.Calvo (Zaragoza) MSC: 65L07 65M70 65M06 65L05 65L12 37D45 35Q53 37J99 PDF BibTeX XML Cite \textit{B. M. Herbst} and \textit{M. J. Ablowitz}, Quaest. Math. 15, No. 3, 345--363 (1992; Zbl 0785.65086) Full Text: DOI
Goedde, C. G.; Lichtenberg, A. J.; Lieberman, M. A. Chaos and the approach to equilibrium in a discrete sine-Gordon equation. (English) Zbl 0761.58014 Physica D 59, No. 1-3, 200-225 (1992). MSC: 37D45 39A12 70H05 PDF BibTeX XML Cite \textit{C. G. Goedde} et al., Physica D 59, No. 1--3, 200--225 (1992; Zbl 0761.58014) Full Text: DOI
Flesch, Randy; Forest, M. Gregory; Sinha, Amarendra Numerical inverse spectral transform for the periodic sine-Gordon equation: Theta function solutions and their linearized stability. (English) Zbl 0728.65098 Physica D 48, No. 1, 169-231 (1991). Reviewer: L.G.Vulkov (Russe) MSC: 65Z05 65M12 35Q53 PDF BibTeX XML Cite \textit{R. Flesch} et al., Physica D 48, No. 1, 169--231 (1991; Zbl 0728.65098) Full Text: DOI
Davydov, A. S. Solitons in molecular systems. Transl. from the Russian by Dr. Eugene S. Kryachko. 2nd ed. (English) Zbl 0721.35067 Mathematics and Its Applications, Soviet Series, 61. Dordrecht etc.: Kluwer Academic Publishers. xiii, 413 p. Dfl. 250.00; $ 149.00; £87.00 (1990). Reviewer: B.A.Malomed (Ramat Aviv) MSC: 35Q51 82D60 35-02 92C05 PDF BibTeX XML Cite \textit{A. S. Davydov}, Solitons in molecular systems. Transl. from the Russian by Dr. Eugene S. Kryachko. 2nd ed. Dordrecht etc.: Kluwer Academic Publishers (1990; Zbl 0721.35067)
Rozet, I. G.; Filinykh, V. V. Periodic and stochastic wave solutions in certain physical distributed systems. (Russian) Zbl 0719.35078 Studies in geometric theory of differential equations and its applications, Collect. Sci. Works, 36-44 (1988). Reviewer: A.Haimovici (Iaşi) MSC: 35Q40 35Q53 35R60 PDF BibTeX XML
Sen, Shibani; Roy Chowdhury, A. Representation of supercharges over the scattering data for super-sine-Gordon system. (English) Zbl 0697.35121 Int. J. Theor. Phys. 27, No. 6, 667-672 (1988). MSC: 35Q99 81T08 35R30 PDF BibTeX XML Cite \textit{S. Sen} and \textit{A. Roy Chowdhury}, Int. J. Theor. Phys. 27, No. 6, 667--672 (1988; Zbl 0697.35121) Full Text: DOI
Khabibullin, I. T. Discrete Zakharov-Shabat system and integrable equations. (English) Zbl 0644.35072 J. Sov. Math. 40, No. 1, 108-115 (1988). MSC: 35P05 PDF BibTeX XML Cite \textit{I. T. Khabibullin}, J. Sov. Math. 40, No. 1, 108--115 (1988; Zbl 0644.35072) Full Text: DOI
Ercolani, N.; Forest, M. G.; McLaughlin, D. W.; Montgomery, R. Hamiltonian structure for the modulation equations of a sine-Gordon wavetrain. (English) Zbl 0668.35064 Duke Math. J. 55, 949-983 (1987). Reviewer: W.Wendt MSC: 35L70 35B30 35C05 35Q99 35B10 PDF BibTeX XML Cite \textit{N. Ercolani} et al., Duke Math. J. 55, 949--983 (1987; Zbl 0668.35064) Full Text: DOI
Mazor, A.; Bishop, A. R. Phase-pulling and breather instability in an AC-driven damped one- dimensional sine-Gordon system. (English) Zbl 0623.58041 Physica D 27, 269-293 (1987). MSC: 58Z05 34K99 35Q99 37D45 PDF BibTeX XML Cite \textit{A. Mazor} and \textit{A. R. Bishop}, Physica D 27, 269--293 (1987; Zbl 0623.58041) Full Text: DOI
Pagano, S.; Salerno, M.; Samuelsen, M. R. Parametric adiabatic perturbations on the sine-Gordon breather solution. (English) Zbl 0612.58057 Physica D 26, 396-402 (1987). MSC: 58J99 37J40 PDF BibTeX XML Cite \textit{S. Pagano} et al., Physica D 26, 396--402 (1987; Zbl 0612.58057) Full Text: DOI
Maugin, G. A. Solitons and domain structure in elastic crystals with a microstructure: Mathematical aspects. (English) Zbl 0622.73125 Trends in applications of pure mathematics to mechanics, Proc. 6th Symp., Bad Honnef/FRG 1985, Lect. Notes Phys. 249, 195-211 (1986). Reviewer: V.Gheorghiţă (Iaşi) MSC: 74F15 74A60 74M25 PDF BibTeX XML
Forest, M. Gregory; Lee, Jong-Eao Geometry and modulation theory for the periodic nonlinear Schrödinger equation. (English) Zbl 0615.35003 Oscillation theory, computation, and methods of compensated compactness, Proc. Workshop, Minneapolis/Minn. 1984/85, IMA Vol. Math. Appl. 2, 35-69 (1986). Reviewer: L.Pastur MSC: 35B15 35Q99 35G20 35C05 35C20 35B25 PDF BibTeX XML
Lund, Fernando Constrained Hamiltonian dynamics and the Poisson structure of some integrable systems. (English) Zbl 0607.58017 Physica D 18, 420-422 (1986). Reviewer: W.Oliva MSC: 37J99 37J35 37K10 37N99 PDF BibTeX XML Cite \textit{F. Lund}, Physica D 18, 420--422 (1986; Zbl 0607.58017) Full Text: DOI
Gadzhiev, I. T.; Gerdzhikov, V. S.; Ivanov, M. I. Hamiltonian structures of nonlinear evolution equations connected with a polynomial pencil. (English) Zbl 0597.35112 J. Sov. Math. 34, 1923-1932 (1986). MSC: 35Q99 81U20 81Q05 PDF BibTeX XML Cite \textit{I. T. Gadzhiev} et al., J. Sov. Math. 34, 1923--1932 (1986; Zbl 0597.35112) Full Text: DOI
Bullough, R. K. Statistical mechanics of the sine-Gordon field. I. (English) Zbl 0617.70016 Nonlinear phenomena in physics, Proc. Lat. Amer. Sch. Phys., Santiago/Chile 1984, Springer Proc. Phys. 3, 70-102 (1985). MSC: 70H15 82B10 35B99 28C20 81S40 58D30 PDF BibTeX XML
Federbush, Paul; Kennedy, Tom Surface effects in Debye screening. (English) Zbl 0608.35065 Commun. Math. Phys. 102, 361-423 (1985). MSC: 35Q99 82B05 82D10 PDF BibTeX XML Cite \textit{P. Federbush} and \textit{T. Kennedy}, Commun. Math. Phys. 102, 361--423 (1985; Zbl 0608.35065) Full Text: DOI
Khabibullin, I. T. Discree Zakharov-Shabat system and integrable equations. (Russian. English summary) Zbl 0606.35056 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 146, 137-146 (1985). MSC: 35P05 35Q99 35A30 35R10 PDF BibTeX XML Cite \textit{I. T. Khabibullin}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 146, 137--146 (1985; Zbl 0606.35056) Full Text: EuDML
Peskov, N. V. On a Kubo-Martin-Schwinger state of the sine-Gordon system. (English. Russian original) Zbl 0591.35072 Theor. Math. Phys. 64, 666-672 (1985); translation from Teor. Mat. Fiz. 64, No. 1, 32-40 (1985). MSC: 35Q99 81Q05 35G10 35K25 PDF BibTeX XML Cite \textit{N. V. Peskov}, Theor. Math. Phys. 64, 666--672 (1985; Zbl 0591.35072); translation from Teor. Mat. Fiz. 64, No. 1, 32--40 (1985) Full Text: DOI
El-Sabbagh, M. F. SL(n,R)-structure and a possible model for \(n\)-dimensional solitons. I. (English) Zbl 0631.58029 J. Fac. Educ., Ain Shams Univ. 8, No. 2, 363-384 (1984). Reviewer: M.Puta MSC: 58J50 PDF BibTeX XML Cite \textit{M. F. El-Sabbagh}, J. Fac. Educ., Ain Shams Univ. 8, No. 2, 363--384 (1984; Zbl 0631.58029)
Zhou, Yulin; Fu, Hongyuan Periodic boundary problems for semilinear degenerate evolution systems of higher order. (English) Zbl 0587.35015 Acta Math. Sci. 4, 129-137 (1984). MSC: 35G20 49M15 35S05 81Q05 PDF BibTeX XML Cite \textit{Y. Zhou} and \textit{H. Fu}, Acta Math. Sci. 4, 129--137 (1984; Zbl 0587.35015)
Oevel, Walter Rekursionsmechanismen für Symmetrien und Erhaltungssätze in integrablen Systemen. (German) Zbl 0568.58016 Fachbereich Mathematik-Informatik der Universität-Gesamthochschule Paderborn. 114 S. (1984). Reviewer: B.Fuchssteiner MSC: 37J99 37N99 35Q99 PDF BibTeX XML
Harnad, J.; Saint-Aubin, Yvan; Shnider, S. The soliton correlation matrix and the reduction problem for integrable systems. (English) Zbl 0549.58025 Commun. Math. Phys. 93, 33-56 (1984). Reviewer: G.-Z.Tu MSC: 37J35 37K10 35Q99 81T08 22E70 PDF BibTeX XML Cite \textit{J. Harnad} et al., Commun. Math. Phys. 93, 33--56 (1984; Zbl 0549.58025) Full Text: DOI
Christiansen, Peter Leth Soliton dynamic states in the sine-Gordon system. (English) Zbl 0546.65086 Wave phenomena: modern theory and applications, int. Meet. Univ. Toronto 1983, North-Holland Math. Stud. 97, 349-360 (1984). MSC: 65Z05 65N22 78A40 81Q05 35Q99 PDF BibTeX XML
Grundland, Alfred M.; Żelazny, Roman Simple waves in quasilinear hyperbolic systems. I: Theory of simple waves and simple states. Examples of applications. (English) Zbl 0555.35079 J. Math. Phys. 24, 2305-2314 (1983). Reviewer: T.R.Faulkner MSC: 35L60 35B40 58A10 58A17 PDF BibTeX XML Cite \textit{A. M. Grundland} and \textit{R. Żelazny}, J. Math. Phys. 24, 2305--2314 (1983; Zbl 0555.35079) Full Text: DOI
Guo, Hanying; Wu, Ke; Hou, Boyu; Hsiang, Yanyu; Wang, Shikun The compact algebra structure of soliton equations, their spinor AKNS system and realization on sphere. (English) Zbl 0527.35082 Acta Math. Sci. 3, 241-248 (1983). MSC: 35Q99 22E70 PDF BibTeX XML Cite \textit{H. Guo} et al., Acta Math. Sci. 3, 241--248 (1983; Zbl 0527.35082)
Garbaczewski, Piotr On quantum solitons and their classical relatives: Bethe Ansatz states in soliton sectors of the sine-Gordon system. (English) Zbl 0491.35074 Ann. Phys. 139, 293-313 (1982). MSC: 35Q99 81T08 81Q05 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Ann. Phys. 139, 293--313 (1982; Zbl 0491.35074) Full Text: DOI
Garbaczewski, Piotr On quantum solitons and their classical relatives: II. ”Fermion-boson reciprocity” and classical vs quantum problem for the sine-Gordon system. (English) Zbl 0541.70030 J. Math. Phys. 22, 1272-1279 (1981). MSC: 70Sxx 81T17 82B20 70G99 PDF BibTeX XML Cite \textit{P. Garbaczewski}, J. Math. Phys. 22, 1272--1279 (1981; Zbl 0541.70030) Full Text: DOI
Garbaczewski, Piotr On quantum solitons and their classical relatives: Spin 1/2 approximation of the sine-Gordon system. (English) Zbl 0466.70019 J. Math. Phys. 22, 574-580 (1981). MSC: 70G99 82B20 81T99 PDF BibTeX XML Cite \textit{P. Garbaczewski}, J. Math. Phys. 22, 574--580 (1981; Zbl 0466.70019) Full Text: DOI
Zakharov, V. E.; Manakov, S. V.; Novikov, S. P.; Pitaevskiĭ, L. P. Theory of solitons. The method of the inverse problem. (Теория солитонов. Метод обратной задачи.) (Russian) Zbl 0598.35003 Moskva: Izdatel’stvo ”Nauka”. 320 p. R. 1.90 (1980). MSC: 35-02 37-02 35Q51 35Q53 37K10 37K15 37K40 35P25 PDF BibTeX XML
Date, Etsuro Quasi-periodic solutions of nonlinear equations of sine-Gordon type and fixed point free involutions of hyperelliptic curves. (English) Zbl 0451.35071 Proc. Japan Acad., Ser. A 56, 51-54 (1980). MSC: 35Q99 37-XX PDF BibTeX XML Cite \textit{E. Date}, Proc. Japan Acad., Ser. A 56, 51--54 (1980; Zbl 0451.35071) Full Text: DOI
Deift, Percy; Lund, Fernando; Trubowitz, Eugene Nonlinear wave equations and constrained harmonic motion. (English) Zbl 0435.35071 Proc. Natl. Acad. Sci. USA 77, 716-719 (1980). MSC: 35Q99 35L99 PDF BibTeX XML Cite \textit{P. Deift} et al., Proc. Natl. Acad. Sci. USA 77, 716--719 (1980; Zbl 0435.35071) Full Text: DOI
Kozel, V. A. On one class of solutions of the ”sine-gordon” equation. (Russian) Zbl 0412.35083 Quest. math. Phys. Funct. Anal., Mater. Sci. Semin., Phys.-Tech. Inst. Low Temp. Acad. Sci. Ukr. SSR, Kiev, 132-139 (1976). MSC: 35Q99 PDF BibTeX XML