Belyakov, L. A.; Shilnikov, L. P. Homoclinic curves and complex solitary waves. (English. Russian original) Zbl 0739.35086 Sel. Math. Sov. 9, No. 3, 219-228 (1990); translation from Methods of the qualitative theory of differential equations, Gor’kij, 22-35 (1985). MSC: 35Q51 37G99 PDFBibTeX XMLCite \textit{L. A. Belyakov} and \textit{L. P. Shilnikov}, Sel. Math. Sov. 9, No. 3, 219--228 (1985; Zbl 0739.35086); translation from Methods of the qualitative theory of differential equations, Gor'kij, 22--35 (1985)
Blow, K. J.; Doran, N. J. Multiple dark soliton solutions of the nonlinear Schrödinger equation. (English) Zbl 1177.37070 Phys. Lett., A 107, No. 2, 55-58 (1985). MSC: 37K15 37K40 35Q51 35Q40 78A10 PDFBibTeX XMLCite \textit{K. J. Blow} and \textit{N. J. Doran}, Phys. Lett., A 107, No. 2, 55--58 (1985; Zbl 1177.37070) Full Text: DOI
Borisov, A. B.; Kiseliev, V. V. Two-dimensional solutions of the Landau-Lifshitz equation. (English) Zbl 1177.37065 Phys. Lett., A 107, No. 4, 161-163 (1985). MSC: 37K10 37K40 35Q82 35Q51 PDFBibTeX XMLCite \textit{A. B. Borisov} and \textit{V. V. Kiseliev}, Phys. Lett., A 107, No. 4, 161--163 (1985; Zbl 1177.37065) Full Text: DOI
Babbich, V. M.; Buldyrev, V. S.; Molotkov, I. A. The space-time ray method. Linear and nonlinear waves. (Prostranstvenno-vremennoj luchevoj metod. Linejnye i nelinejnye volny.) (Russian) Zbl 0678.35002 Leningrad: Izdatel’stvo Leningradskogo Universiteta. 272 p. R. 2.50 (1985). MSC: 35-02 35C20 35Q99 35B50 35Lxx 58J45 35B20 76B15 PDFBibTeX XMLCite \textit{V. M. Babbich} et al., Prostranstvenno-vremennoj luchevoj metod. Linejnye i nelinejnye volny (Russian). Leningrad: Izdatel'stvo Leningradskogo Universiteta (1985; Zbl 0678.35002)
Calogero, Francesco; Degasperis, Antonio Spectral transformation and solitons: tools to solve and investigate nonlinear evolution equations. (Spektral’nye preobrazovaniya i solitony. Metody resheniya i issledovaniya nelinejnykh ehvolyutsionnykh uravnenij). Transl. from the English. (Spektral’nye preobrazovaniya i solitony. Metody resheniya i issledovaniya nelinejnykh ehvolyutsionnykh uravnenij.) (Russian) Zbl 0673.35087 Moskva: Mir. 469 p. R. 4.70 (1985). MSC: 35Q99 35P25 35-02 34-02 35J10 34L99 35A30 81-02 81Uxx PDFBibTeX XMLCite \textit{F. Calogero} and \textit{A. Degasperis}, Spektral'nye preobrazovaniya i solitony. Metody resheniya i issledovaniya nelinejnykh ehvolyutsionnykh uravnenij (Russian). Transl. from the English. Moskva: Mir (1985; Zbl 0673.35087)
Semenov-Tian-Shansky, Michael A. Dressing transformations and Poisson group actions. (English) Zbl 0674.58038 Publ. Res. Inst. Math. Sci. 21, 1237-1260 (1985). Reviewer: B.V.Loginov MSC: 37C80 58J50 58J90 PDFBibTeX XMLCite \textit{M. A. Semenov-Tian-Shansky}, Publ. Res. Inst. Math. Sci. 21, 1237--1260 (1985; Zbl 0674.58038) Full Text: DOI
Feng, Kang On difference schemes and symplectic geometry. (English) Zbl 0659.65118 Differential geometry and differential equations, Proc. Symp., Beijing/China 1984, 42-58 (1985). Reviewer: J.H.Tian MSC: 65Z05 65N06 35Q99 35S05 70H05 37J99 PDFBibTeX XML
Toda, Morikazu (ed.) Development of soliton theory. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, November 26-28, 1984. (English) Zbl 0648.35004 RIMS Kokyuroku, 554. Kyoto: Kyoto University, Research Institute for Mathematical Sciences. II, 199 p. (1985). MSC: 35-06 58-06 00B25 82-06 35Q99 35G20 PDFBibTeX XML
D’Ariano, G. M.; Rasetti, M. G. Soliton equations, \(\tau\)-functions and coherent states. (English) Zbl 0645.35080 Integrable systems in statistical mechanics, Ser. Adv. Stat. Mech. 1, 143-152 (1985). MSC: 35Q99 17B67 53D50 81Q99 PDFBibTeX XML
Jimbo, Michio; Miwa, Tetsuji Integrable systems and infinite dimensional Lie algebras. (English) Zbl 0645.35079 Integrable systems in statistical mechanics, Ser. Adv. Stat. Mech. 1, 65-127 (1985). MSC: 35Q99 17B67 17B10 82B20 53D50 PDFBibTeX XML
Osborne, A. R.; Kirwan, A. D.; Provenzale, A.; Bergamasco, L. Remarks on the KdV equation in Lagrangian coordinates. (English) Zbl 0642.35069 Advances in nonlinear dynamics and stochastic processes, Proc. Meet., Florence/Italy 1985, 89-94 (1985). MSC: 35Q99 35R30 35P25 PDFBibTeX XML
Guo, Benyu Numerical solution of an initial-boundary value problem of the Korteweg- de Vries equation. (English) Zbl 0636.65129 Acta Math. Sci. 5, 337-348 (1985). MSC: 65Z05 35Q99 65N12 76B15 PDFBibTeX XMLCite \textit{B. Guo}, Acta Math. Sci. 5, 337--348 (1985; Zbl 0636.65129)
Kurdgelaidze, D. F. Specific character of nonlinear equations of field theory. (Spetsifika reshenij nelinejnykh uravnenij teorii polya). (Russian) Zbl 0635.35002 Tbilisi: Izdatel’stvo Tbilisskogo Universiteta. 130 p. R. 0.65 (1985). Reviewer: P.Zabrejko MSC: 35-02 35Q99 35B40 35G20 81T99 PDFBibTeX XML
Babitskij, V. I.; Vedenova, E. G.; Gojkhman, L. V.; Manevich, L. I. Localization of vibrations in a nonlinear beam system with a periodic structure. (English. Russian original) Zbl 0631.73046 Sov. Phys., Dokl. 30, 219-220 (1985); translation from Dokl. Akad. Nauk SSSR 281, 288-291 (1985). MSC: 74H45 74K10 74E05 PDFBibTeX XMLCite \textit{V. I. Babitskij} et al., Sov. Phys., Dokl. 30, 219--220 (1985; Zbl 0631.73046); translation from Dokl. Akad. Nauk SSSR 281, 288--291 (1985)
Guo, Benyu A survey of numerical method for solitary waves. II. (English) Zbl 0624.65123 J. Math. Res. Expo. 5, No. 3, 115-122 (1985). Reviewer: Lu Jipin MSC: 65Z05 65M60 35Q99 76B15 PDFBibTeX XMLCite \textit{B. Guo}, J. Math. Res. Expo. 5, No. 3, 115--122 (1985; Zbl 0624.65123)
Bullough, R. K.; Pilling, D. J.; Timonen, J. Statistical mechanics of the sine-Gordon field. II. (English) Zbl 0617.70017 Nonlinear phenomena in physics, Proc. Lat. Amer. Sch. Phys., Santiago/Chile 1984, Springer Proc. Phys. 3, 103-128 (1985). MSC: 70H15 82B10 35B99 28C20 81S40 58D30 PDFBibTeX XML
Liang, Guoding Exact solutions of the equation \(2v_ t+(v_{xx}+3vu)_ x=0\). (Chinese. English summary) Zbl 0617.35018 Nat. Sci. J. Xiangtan Univ. 1985, No. 2, 168-170 (1985). MSC: 35C05 35G20 35B10 PDFBibTeX XMLCite \textit{G. Liang}, Nat. Sci. J. Xiangtan Univ. 1985, No. 2, 168--170 (1985; Zbl 0617.35018)
Boiti, M.; Konopelchenko, B. G.; Pempinelli, F. Bäcklund transformations via gauge transformations in \(2+1\) dimensions. (English) Zbl 0615.58042 Inverse Probl. 1, 33-56 (1985). Reviewer: E.Gutkin MSC: 58J72 35R30 35Q99 PDFBibTeX XMLCite \textit{M. Boiti} et al., Inverse Probl. 1, 33--56 (1985; Zbl 0615.58042) Full Text: DOI
Choquet-Bruhat, Yvonne Kaluza-Klein theories. (English) Zbl 0615.53073 Rend. Circ. Mat. Palermo, II. Ser., Suppl. 8, 155-169 (1985). Reviewer: H.Dehnen MSC: 53B50 83E15 81T60 PDFBibTeX XMLCite \textit{Y. Choquet-Bruhat}, Suppl. Rend. Circ. Mat. Palermo (2) 8, 155--169 (1985; Zbl 0615.53073)
Kalina, Jerzy; Ławrynowicz, Julian; Suzuki, Osamu A field equation defined by a Hurwitz pair. (English) Zbl 0613.35066 Rend. Circ. Mat. Palermo, II. Ser., Suppl. 9, 117-128 (1985). Reviewer: R.Picard MSC: 35Q99 81Q99 35A30 PDFBibTeX XMLCite \textit{J. Kalina} et al., Suppl. Rend. Circ. Mat. Palermo (2) 9, 117--128 (1985; Zbl 0613.35066) Full Text: EuDML
Maliszewski, Mieczysław On a method of studying soliton equations. (Polish. English, Russian summaries) Zbl 0611.35074 Zesz. Nauk. Politech. Białostockiej, Mat. Fiz. Chem. 9, 35-41 (1985). MSC: 35Q99 35G20 PDFBibTeX XML
Teymur, Mevlüt Interaction of nonlinear waves in diatomic solids. (Turkish. English summary) Zbl 0609.73031 Fen Fak. Derg. 1985, Spec. Issue 2, 452-466 (1985). MSC: 74H45 35Q99 PDFBibTeX XML
Calogero, F.; Degasperis, A. A modified modified Korteweg-de Vries equation. (English) Zbl 0608.35062 Inverse Probl. 1, 57-66 (1985). Reviewer: E.Malec MSC: 35Q99 35G25 35A30 PDFBibTeX XMLCite \textit{F. Calogero} and \textit{A. Degasperis}, Inverse Probl. 1, 57--66 (1985; Zbl 0608.35062) Full Text: DOI
Infeld, E. Cylindrical and spherical plasma soliton dynamics. (English) Zbl 0604.76037 Advances in nonlinear waves, Vol. II, Res. Notes Math. 111, 115-150 (1985). Reviewer: K.M.Srivastava MSC: 76E30 76E25 76X05 PDFBibTeX XML
Harnad, J.; Jacques, M. The supersymmetric soliton correlation matrix. (English) Zbl 0603.22009 J. Geom. Phys. 2, No. 1, 1-15 (1985). Reviewer: M.Monastyrsky MSC: 22E70 81T60 82B20 35G20 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{M. Jacques}, J. Geom. Phys. 2, No. 1, 1--15 (1985; Zbl 0603.22009) Full Text: DOI
Eichhorn, H. Application of the inverse scattering method to the generalized nonlinear Schrödinger equation. (English) Zbl 0602.35100 Inverse Probl. 1, 193-198 (1985). MSC: 35Q99 35G25 35R30 PDFBibTeX XMLCite \textit{H. Eichhorn}, Inverse Probl. 1, 193--198 (1985; Zbl 0602.35100) Full Text: DOI
Volkov, A. Yu. A discrete variant of the Landau-Lifshitz equation. (Russian. English summary) Zbl 0601.65065 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 145, 62-71 (1985). MSC: 65L10 81Q05 PDFBibTeX XMLCite \textit{A. Yu. Volkov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 145, 62--71 (1985; Zbl 0601.65065) Full Text: EuDML
Zhuang, Dawei; Li, Yishen A class of nonlinear evolution equations solvable by the inverse spectral transform. (English) Zbl 0601.35102 Acta Math. Sin., New Ser. 1, 55-71 (1985). Reviewer: E.D.Belokolos MSC: 35Q99 35F20 35A30 PDFBibTeX XMLCite \textit{D. Zhuang} and \textit{Y. Li}, Acta Math. Sin., New Ser. 1, 55--71 (1985; Zbl 0601.35102) Full Text: DOI
Khabirov, S. V. Classification of the first-order Bäcklund transformations for third- order evolution equations with a constant separant. (English) Zbl 0598.35098 U.S.S.R. Comput. Math. Math. Phys. 25, No. 4, 49-55 (1985). MSC: 35Q99 35A22 35A30 PDFBibTeX XMLCite \textit{S. V. Khabirov}, U.S.S.R. Comput. Math. Math. Phys. 25, No. 4, 49--55 (1985; Zbl 0598.35098) Full Text: DOI
Davydov, A. S. Solitons in molecular systems. Transl. from the Russian by Eugene S. Kryachko. (English. Russian original) Zbl 0597.35001 Mathematics and Its Applications (Soviet Series), 4. Dordrecht-Boston- Lancaster: D. Reidel Publishing Company, a member of the Kluwer Academic Publishers Group. XVIII, 319 p. Dfl. 170.00; $ 54.00; £47.25 (1985). Reviewer: P.Goldstein and E.Infeld MSC: 35-02 35Q99 81Q05 35J10 PDFBibTeX XML
Malomed, Boris A. Inelastic interactions of solitons in nearly integrable systems. I. (English) Zbl 0596.58039 Physica D 15, 374-384 (1985). MSC: 37J40 35K55 76B25 PDFBibTeX XMLCite \textit{B. A. Malomed}, Physica D 15, 374--384 (1985; Zbl 0596.58039) Full Text: DOI
Salerno, Mario A mechanical analog for the double sine-Gordon equation. (English) Zbl 0595.35094 Physica D 17, 227-234 (1985). Reviewer: B.Guo MSC: 35Q99 81Q05 PDFBibTeX XMLCite \textit{M. Salerno}, Physica D 17, 227--234 (1985; Zbl 0595.35094) Full Text: DOI
Date, Etsuro; Jimbo, Michio; Kashiwara, Masaki; Miwa, Tetsuji On Landau-Lifshitz equation and infinite dimensional groups. (English) Zbl 0593.35070 Infinite dimensional groups with applications, Publ., Math. Sci. Res. Inst. 4, 71-81 (1985). Reviewer: Isaac Yevzerov (Kyïv) MSC: 35Q82 PDFBibTeX XML
Scharf, G.; Wreszinski, W. F. Asymptotic behaviour of solutions of the Korteweg-de Vries equation. (English) Zbl 0592.35110 Ann. Phys. 162, 132-154 (1985). Reviewer: V.Chulaevsky MSC: 35Q99 35B40 35P25 PDFBibTeX XMLCite \textit{G. Scharf} and \textit{W. F. Wreszinski}, Ann. Phys. 162, 132--154 (1985; Zbl 0592.35110) Full Text: DOI
Muriel, A. Initial conditions in non-equilibrium statistical mechanics. I. The generation of solitary waves from discontinuities. (English) Zbl 0591.76031 Physica A 129, 577-590 (1985). MSC: 76B25 82B05 76A02 PDFBibTeX XMLCite \textit{A. Muriel}, Physica A 129, 577--590 (1985; Zbl 0591.76031) Full Text: DOI
Sym, Antoni On solitons - an elementary survey. (Polish. English summary) Zbl 0591.35076 Ann. Soc. Math. Pol., Ser. III, Mat. Stosow. 26, 5-28 (1985). MSC: 35Q99 35A35 PDFBibTeX XMLCite \textit{A. Sym}, Ann. Soc. Math. Pol., Ser. III, Mat. Stosow. 26, 5--28 (1985; Zbl 0591.35076)
Papadopoulos, Demetrios Soliton solutions for self-dual SU(3) gauge field theory. (English) Zbl 0591.35071 J. Math. Phys. 26, 2990-2994 (1985). MSC: 35Q99 35A35 22E70 PDFBibTeX XMLCite \textit{D. Papadopoulos}, J. Math. Phys. 26, 2990--2994 (1985; Zbl 0591.35071) Full Text: DOI
Ercolani, Nicholas M.; Forest, M. Gregory The geometry of real sine-Gordon wavetrains. (English) Zbl 0591.35065 Commun. Math. Phys. 99, No. 1, 1-49 (1985). MSC: 35Q55 35B15 35Q51 81Q05 58J15 PDFBibTeX XMLCite \textit{N. M. Ercolani} and \textit{M. G. Forest}, Commun. Math. Phys. 99, 1--49 (1985; Zbl 0591.35065) Full Text: DOI
Ter-Krikorov, A. M. Three-dimensional steady flows of stratified fluid and internal waves. (English. Russian original) Zbl 0589.76136 Fluid Dyn. 20, 445-449 (1985); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1985, No. 3, 127-132 (1985). MSC: 76V05 76B55 35B40 PDFBibTeX XMLCite \textit{A. M. Ter-Krikorov}, Fluid Dyn. 20, 445--449 (1985; Zbl 0589.76136); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1985, No. 3, 127--132 (1985) Full Text: DOI
Kano, Tadayoshi; Nishida, Takaaki Une justification mathématique pour l’équation de Korteweg-de Vries approchant des ondes longues de surface de l’eau. (French) Zbl 0589.76030 Proc. Japan Acad., Ser. A 61, 345-348 (1985). MSC: 76B15 35Q99 PDFBibTeX XMLCite \textit{T. Kano} and \textit{T. Nishida}, Proc. Japan Acad., Ser. A 61, 345--348 (1985; Zbl 0589.76030) Full Text: DOI
Papastamatiou, N. J.; Matsumoto, H.; Umezawa, H. Comments on the perturbed sine-Gordon equation. (English) Zbl 0588.35081 J. Math. Phys. 26, 2205-2207 (1985). MSC: 35Q99 35R35 35B20 35B40 PDFBibTeX XMLCite \textit{N. J. Papastamatiou} et al., J. Math. Phys. 26, 2205--2207 (1985; Zbl 0588.35081) Full Text: DOI
Fujii, Kazuyuki A classical solution of the non-linear complex Grassmann \(\sigma\)-model with higher derivatives. (English) Zbl 0587.58016 Commun. Math. Phys. 101, 207-211 (1985). Reviewer: Ch.Sharma MSC: 37J99 57R15 55N15 58A40 PDFBibTeX XMLCite \textit{K. Fujii}, Commun. Math. Phys. 101, 207--211 (1985; Zbl 0587.58016) Full Text: DOI
Cheng, Ansheng Variational problem for the Boussinesq equation and related Bäcklund transformation and soliton solution. (Chinese. English summary) Zbl 0587.35085 Acta Math. Appl. Sin. 8, 482-488 (1985). MSC: 35Q99 35A22 35C05 PDFBibTeX XMLCite \textit{A. Cheng}, Acta Math. Appl. Sin. 8, 482--488 (1985; Zbl 0587.35085)
Yamada, Hirofumi The Virasoro algebra and the KP hierarchy. (English) Zbl 0587.17008 Infinite dimensional groups with applications, Publ., Math. Sci. Res. Inst. 4, 371-380 (1985). Reviewer: L.Vaserstein MSC: 17B65 17B10 35Q99 PDFBibTeX XML
Mofiz, U. A.; de Angelis, U.; Shukla, P. K.; Rao, N. N. Standing envelope solitons in plasmas. (English) Zbl 0586.76185 Phys. Fluids 28, 826-829 (1985). MSC: 76X05 76B25 PDFBibTeX XMLCite \textit{U. A. Mofiz} et al., Phys. Fluids 28, 826--829 (1985; Zbl 0586.76185) Full Text: DOI
De Filippo, S.; Salerno, M.; Vilasi, G. A geometrical approach to the integrability of soliton equations. (English) Zbl 0586.35087 Lett. Math. Phys. 9, 85-91 (1985). MSC: 35Q99 58J50 35G10 35K25 35F20 35A05 PDFBibTeX XMLCite \textit{S. De Filippo} et al., Lett. Math. Phys. 9, 85--91 (1985; Zbl 0586.35087) Full Text: DOI
Caenepeel, S.; Malfliet, W. Internal structure of the two-soliton solution of the KdV equation. (English) Zbl 0586.35081 Wave Motion 7, 299-305 (1985). MSC: 35Q99 35A35 65M99 65N99 35J10 35P25 PDFBibTeX XMLCite \textit{S. Caenepeel} and \textit{W. Malfliet}, Wave Motion 7, 299--305 (1985; Zbl 0586.35081) Full Text: DOI
Belić, Milivoj R. Dynamics of surfaces and a generalised nonlinear Schrödinger equation. (English) Zbl 0586.34024 J. Phys. A 18, L409-L412 (1985). Reviewer: O.Akinyele MSC: 34B30 35J10 PDFBibTeX XMLCite \textit{M. R. Belić}, J. Phys. A, Math. Gen. 18, L409--L412 (1985; Zbl 0586.34024)
Léveillé, Michel Multi-soliton asymptotics for the SU(N) sigma model. (English) Zbl 0585.35006 J. Phys. A 18, 2367-2377 (1985). MSC: 35B40 35A22 PDFBibTeX XMLCite \textit{M. Léveillé}, J. Phys. A, Math. Gen. 18, 2367--2377 (1985; Zbl 0585.35006) Full Text: DOI
Li, Xiao Qing Double layers in strong turbulent plasmas. (English) Zbl 0584.76059 Astrophys. Space Sci. 112, 13-24 (1985). MSC: 76E25 76X05 76F99 PDFBibTeX XMLCite \textit{X. Q. Li}, Astrophys. Space Sci. 112, 13--24 (1985; Zbl 0584.76059) Full Text: DOI
Kuehl, H. H.; Imen, K. Finite-amplitude ion-acoustic solitons in weakly inhomogeneous plasmas. (English) Zbl 0584.76058 Phys. Fluids 28, 2375-2381 (1985). MSC: 76E25 76M99 76X05 PDFBibTeX XMLCite \textit{H. H. Kuehl} and \textit{K. Imen}, Phys. Fluids 28, 2375--2381 (1985; Zbl 0584.76058) Full Text: DOI
Laedke, E. W.; Spatschek, K. H. Variational formulation for the evolution of a deep-water wavetrain in two space dimensions. (English) Zbl 0584.76018 Phys. Fluids 28, 2315-2316 (1985). MSC: 76B15 35Q99 76E99 PDFBibTeX XMLCite \textit{E. W. Laedke} and \textit{K. H. Spatschek}, Phys. Fluids 28, 2315--2316 (1985; Zbl 0584.76018) Full Text: DOI
Leznov, A. N.; Man’ko, V. I.; Chumakov, S. M. Symmetries and soliton solutions of nonlinear equations. (English. Russian original) Zbl 0584.35006 Theor. Math. Phys. 63, 356-365 (1985); translation from Teor. Mat. Fiz. 63, No. 1, 50-63 (1985). Reviewer: A.Bocharov MSC: 35C05 35Q99 22E70 PDFBibTeX XMLCite \textit{A. N. Leznov} et al., Theor. Math. Phys. 63, 356--365 (1985; Zbl 0584.35006); translation from Teor. Mat. Fiz. 63, No. 1, 50--63 (1985) Full Text: DOI
Sym, Antoni Soliton surfaces and their applications (soliton geometry from spectral problems). (English) Zbl 0583.53017 Geometric aspects of the Einstein equations and integrable systems, Proc. 6th Conf., Scheveningen/Neth. 1984, Lect. Notes Phys. 239, 154-231 (1985). Reviewer: K.Horneffer MSC: 53B25 53B50 35G99 PDFBibTeX XML
Wilson, G. Infinite-dimensional Lie groups and algebraic geometry in soliton theory. (English) Zbl 0582.35103 Philos. Trans. R. Soc. Lond., A 315, 393-404 (1985). MSC: 35Q99 35A30 22E65 PDFBibTeX XMLCite \textit{G. Wilson}, Philos. Trans. R. Soc. Lond., Ser. A 315, 393--404 (1985; Zbl 0582.35103) Full Text: DOI
Gollek, Hubert The generalized sine-Gordon equation and its 1-soliton solutions. (English) Zbl 0581.58031 Ann. Global Anal. Geom. 3, No. 2, 233-254 (1985). Reviewer: G.Warnecke MSC: 58J45 35Q99 PDFBibTeX XMLCite \textit{H. Gollek}, Ann. Global Anal. Geom. 3, No. 2, 233--254 (1985; Zbl 0581.58031) Full Text: DOI
Degasperis, A.; Santini, P. M.; Ablowitz, M. J. Nonlinear evolution equations associated with a Riemann-Hilbert scattering problem. (English) Zbl 0581.35075 J. Math. Phys. 26, 2469-2472 (1985). MSC: 35Q99 35G20 35P25 PDFBibTeX XMLCite \textit{A. Degasperis} et al., J. Math. Phys. 26, 2469--2472 (1985; Zbl 0581.35075) Full Text: DOI
Gibbon, J. D.; Radmore, P.; Tabor, M.; Wood, David Harlan The Painlevé property and Hirota’s method. (English) Zbl 0581.35074 Stud. Appl. Math. 72, 39-63 (1985). MSC: 35Q99 35G20 35A30 PDFBibTeX XMLCite \textit{J. D. Gibbon} et al., Stud. Appl. Math. 72, 39--63 (1985; Zbl 0581.35074) Full Text: DOI
Ward, R. S. Integrable and solvable systems, and relations among them. (English) Zbl 0579.35078 Philos. Trans. R. Soc. Lond., A 315, 451-457 (1985). MSC: 35Q99 35A05 PDFBibTeX XMLCite \textit{R. S. Ward}, Philos. Trans. R. Soc. Lond., Ser. A 315, 451--457 (1985; Zbl 0579.35078) Full Text: DOI
Frenkel, I. B. Representations of affine Lie algebras and soliton equations. (English) Zbl 0579.35077 Philos. Trans. R. Soc. Lond., A 315, 391 (1985). MSC: 35Q99 17B65 PDFBibTeX XMLCite \textit{I. B. Frenkel}, Philos. Trans. R. Soc. Lond., Ser. A 315, 391 (1985; Zbl 0579.35077) Full Text: DOI
Radehaus, Ch.; Waldowski, M.; Kardell, K.; Berkemeier, J.; Wiesemann, M.; Purwins, H. G. Special purpose computer for nonlinear differential equations. (English) Zbl 0578.65109 Comput. Phys. Commun. 36, 345-350 (1985). MSC: 65N22 68N99 65H10 35K60 PDFBibTeX XMLCite \textit{Ch. Radehaus} et al., Comput. Phys. Commun. 36, 345--350 (1985; Zbl 0578.65109) Full Text: DOI
Previato, Emma Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation. (English) Zbl 0578.35086 Duke Math. J. 52, 329-377 (1985). Reviewer: N.Jacob MSC: 35Q99 35P25 14K25 35G20 PDFBibTeX XMLCite \textit{E. Previato}, Duke Math. J. 52, 329--377 (1985; Zbl 0578.35086) Full Text: DOI
Khabirov, S. V. Classification of Bäcklund transformations of first order for third order evolution equations with a constant separant. (Russian) Zbl 0578.35084 Zh. Vychisl. Mat. Mat. Fiz. 25, No. 7, 1039-1049 (1985). Reviewer: G.Z.Tu MSC: 35Q99 35A22 35A30 PDFBibTeX XMLCite \textit{S. V. Khabirov}, Zh. Vychisl. Mat. Mat. Fiz. 25, No. 7, 1039--1049 (1985; Zbl 0578.35084)
Lukomskij, V. P.; Shlepakov, L. N.; Sedletskij, Yu. V. Numerical studies of the dynamics of soliton formation in some biological systems. (Russian) Zbl 0577.76128 Mat. Fiz. Nelinejnaya Mekh. 4(38), 81-85 (1985). Reviewer: O.Dumbrajs MSC: 76Z05 76M99 92Cxx PDFBibTeX XMLCite \textit{V. P. Lukomskij} et al., Mat. Fiz. Nelineĭn. Mekh. 4(38), 81--85 (1985; Zbl 0577.76128)
Cherednik, I. V. Functional realization of basic representations of factorizable Lie groups and algebras. (English. Russian original) Zbl 0577.17011 Funct. Anal. Appl. 19, 193-206 (1985); translation from Funkts. Anal. Prilozh. 19, No. 3, 36-52 (1985). Reviewer: A.K.Guch MSC: 17B65 14L35 22E65 17B10 35Q99 PDFBibTeX XMLCite \textit{I. V. Cherednik}, Funct. Anal. Appl. 19, 193--206 (1985; Zbl 0577.17011); translation from Funkts. Anal. Prilozh. 19, No. 3, 36--52 (1985) Full Text: DOI
Diaz, Mario C.; Gleiser, Reinaldo J. Smooth extensions of a class of 2n soliton metrics. (English) Zbl 0576.53052 Classical Quantum Gravity 2, 891-898 (1985). MSC: 53B50 83C05 47A40 PDFBibTeX XMLCite \textit{M. C. Diaz} and \textit{R. J. Gleiser}, Classical Quantum Gravity 2, 891--898 (1985; Zbl 0576.53052) Full Text: DOI
Bunov, A. V.; Demekhin, E. A.; Shkadov, V. Ya. On the non-uniqueness of nonlinear wave solutions in a viscous layer. (English. Russian original) Zbl 0575.76042 J. Appl. Math. Mech. 48(1985), 495-499 (1984); translation from Prikl. Mat. Mekh. 48, 691-696 (1984). MSC: 76D99 76B25 PDFBibTeX XMLCite \textit{A. V. Bunov} et al., J. Appl. Math. Mech. 48, 495--499 (1985; Zbl 0575.76042); translation from Prikl. Mat. Mekh. 48, 691--696 (1984) Full Text: DOI
Garbaczewski, Piotr Constituent quantization of soliton fields. I: Canonical action-angle formalism for the sine-Gordon system. II: Nonlinear Schrödinger system. (English) Zbl 0575.35086 Univ. Bielefeld, Forschungszentr. Bielefeld-Bochum-Stochastik 53, 23 p. (1985). Reviewer: A.Bocharov MSC: 35Q99 81T08 81R30 81U99 PDFBibTeX XML
Kac, Victor G. Infinite dimensional Lie algebras. 2nd ed. (English) Zbl 0574.17010 Cambridge etc.: Cambridge University Press. XVII, 280 p. £25.00; $ 24.95 (1985). Reviewer: O.Ninnemann MSC: 17B65 22-01 17-02 05A19 11P81 11F11 17-01 17B10 22E65 35Q99 37J99 PDFBibTeX XML
Chan, Tony F.; Kerkhoven, Tom Fourier methods with extended stability intervals for the Korteweg-de Vries equation. (English) Zbl 0571.65082 SIAM J. Numer. Anal. 22, 441-454 (1985). Reviewer: U.Hornung MSC: 65M12 65M60 35Q99 PDFBibTeX XMLCite \textit{T. F. Chan} and \textit{T. Kerkhoven}, SIAM J. Numer. Anal. 22, 441--454 (1985; Zbl 0571.65082) Full Text: DOI
Ryang, Won Yel On the soliton solutions of nonlinear evolution equations. (Korean. English summary) Zbl 0571.35097 Math. Phys., Pyongyang 1985, No. 2, 33-40 (1985). MSC: 35Q99 35G20 PDFBibTeX XMLCite \textit{W. Y. Ryang}, Math. Phys., Pyongyang 1985, No. 2, 33--40 (1985; Zbl 0571.35097)
Bogolyubov, N. N.; Prikarpatskij, A. K. Finite-zone solutions of Heisenberg-type equations. (Russian) Zbl 0569.35072 Mat. Metody Fiz.-Mekh. Polya 21, 3-7 (1985). Reviewer: O.Dumbrajs MSC: 35Q99 35B15 35A30 PDFBibTeX XMLCite \textit{N. N. Bogolyubov} and \textit{A. K. Prikarpatskij}, Mat. Metody Fiz.-Mekh. Polya 21, 3--7 (1985; Zbl 0569.35072)
Xu, Gang; Shu, Changqing; Lin, Lei Multiple scales analysis of a nonlinear ordinary differential equation. (English) Zbl 0568.34039 J. Math. Phys. 26, 1566-1569 (1985). MSC: 34E05 34A34 34A25 PDFBibTeX XMLCite \textit{G. Xu} et al., J. Math. Phys. 26, 1566--1569 (1985; Zbl 0568.34039) Full Text: DOI
Maslov, V. P.; Omel’yanov, G. A.; Tsupin, V. A. Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion. (English. Russian original) Zbl 0567.35078 Math. USSR, Sb. 50, 191-212 (1985); translation from Mat. Sb., Nov. Ser. 122(164), No. 2, 197-219 (1983). MSC: 35Q99 35S05 35L67 35B40 82B20 82D10 PDFBibTeX XMLCite \textit{V. P. Maslov} et al., Math. USSR, Sb. 50, 191--212 (1985; Zbl 0567.35078); translation from Mat. Sb., Nov. Ser. 122(164), No. 2, 197--219 (1983) Full Text: DOI EuDML
Newell, Alan C. Solitons in mathematics and physics. (English) Zbl 0565.35003 CBMS-NSF Regional Conference Series in Applied Mathematics 48. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-196-7). xvi, 246 p. (1985). Reviewer: Gui-Zhang Tu MSC: 35-02 35Q51 35Q53 35Q55 35A30 37K40 37K15 37K20 37K30 37K35 37K10 17B67 17B80 70H05 34L99 35P25 76B15 PDFBibTeX XMLCite \textit{A. C. Newell}, Solitons in mathematics and physics. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (1985; Zbl 0565.35003)
Rao, Jyoti A.; Rangwala, Abbas A. Infinitesimal transformations about soliton solutions of sine-Gordon and modified Korteweg-de Vries equations. (English) Zbl 0563.35075 J. Math. Phys. 26, 1215-1218 (1985). MSC: 35Q99 35L70 35A30 PDFBibTeX XMLCite \textit{J. A. Rao} and \textit{A. A. Rangwala}, J. Math. Phys. 26, 1215--1218 (1985; Zbl 0563.35075) Full Text: DOI
Takeno, S. (ed.) Dynamical problems in soliton systems. Proceedings of the Seventh Kyoto Summer Institute, Kyoto, Japan, August 27-31, 1984. (English) Zbl 0562.35075 Springer Series in Synergetics, 30. Berlin etc.: Springer-Verlag. XIII, 281 p. DM 89.00 (1985). Reviewer: N.Jacob MSC: 35Q99 35-06 82D10 92F05 81T99 76X05 00B25 PDFBibTeX XML
Gear, J. A. Strong interactions between solitary waves belonging to different wave modes. (English) Zbl 0561.76030 Stud. Appl. Math. 72, 95-124 (1985). MSC: 76B25 76M99 PDFBibTeX XMLCite \textit{J. A. Gear}, Stud. Appl. Math. 72, 95--124 (1985; Zbl 0561.76030) Full Text: DOI
Ueno, Kimio The Riemann-Hilbert decomposition and the KP hierarchy. (English) Zbl 0557.35088 Vertex operators in mathematics and physics, Proc. Conf., Berkeley/CA 1983, Publ., Math. Sci. Res. Inst. 3, 291-302 (1985). Reviewer: L.N.Vaserstein MSC: 35Q15 35Q99 22E65 17B65 PDFBibTeX XML
Letelier, P. S. Solitary wave solutions to the Einstein equations. (English) Zbl 0555.70016 J. Math. Phys. 26, 326-328 (1985). MSC: 70Sxx 83C20 83C35 58J60 PDFBibTeX XMLCite \textit{P. S. Letelier}, J. Math. Phys. 26, 326--328 (1985; Zbl 0555.70016) Full Text: DOI
Steeb, W.-H.; Kloke, M.; Spieker, B. M.; Grensing, D. Soliton equations, commutativity condition and Painlevé property. (English) Zbl 0979.37508 Prog. Theor. Phys. 73, No. 2, 344-348 (1985). MSC: 37K10 35B41 35Q51 PDFBibTeX XMLCite \textit{W. H. Steeb} et al., Prog. Theor. Phys. 73, No. 2, 344--348 (1985; Zbl 0979.37508) Full Text: DOI
Geicke, J. Soliton dynamics in time-dependent external fields. (English) Zbl 1063.81537 Phys. Scr. 31, No. 6, 450-454 (1985). MSC: 81Q05 35Q51 70G99 PDFBibTeX XMLCite \textit{J. Geicke}, Phys. Scr. 31, No. 6, 450--454 (1985; Zbl 1063.81537) Full Text: DOI