Mokhov, O. I. Lax pairs for equations describing compatible nonlocal Poisson brackets of hydrodynamic type and integrable reductions of the Lamé equations. (English) Zbl 1178.37084 Theor. Math. Phys. 138, No. 2, 238-249 (2004); translation from Teor. Mat. Fiz. 138, No. 2, 283-296 (2004). MSC: 37K10 37K05 37K25 PDFBibTeX XMLCite \textit{O. I. Mokhov}, Theor. Math. Phys. 138, No. 2, 238--249 (2004; Zbl 1178.37084); translation from Teor. Mat. Fiz. 138, No. 2, 283--296 (2004) Full Text: DOI arXiv
Zaitsev, S. A. The \(S\)-matrix structure and the inverse scattering transform in the \(J\)-matrix approach. (English) Zbl 1178.81278 Theor. Math. Phys. 140, No. 1, 918-930 (2004); translation from Teor. Mat. Fiz. 140, No. 1, 29-43 (2004). MSC: 81U40 81U20 PDFBibTeX XMLCite \textit{S. A. Zaitsev}, Theor. Math. Phys. 140, No. 1, 918--930 (2004; Zbl 1178.81278); translation from Teor. Mat. Fiz. 140, No. 1, 29--43 (2004) Full Text: DOI
Garnier, J. Soliton dynamics in randomly perturbed discrete lattices. (English) Zbl 1101.35389 Abdullaev, Fatkhulla Kh. (ed.) et al., Nonlinear waves: Classical and quantum aspects. Proceedings of the NATO advanced research workshop, Estoril, Portugal, July 13-17, 2003. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-2189-5/pbk; 1-4020-2188-7/hbk). NATO Science Series II: Mathematics, Physics and Chemistry 153, 427-441 (2004). MSC: 35Q58 37K60 82D30 PDFBibTeX XMLCite \textit{J. Garnier}, NATO Sci. Ser. II, Math. Phys. Chem. 153, 427--441 (2004; Zbl 1101.35389)
Gutshabash, E. Sh. Darboux transformation for the nonstationary Schrödinger equation. (Russian. English summary) Zbl 1094.37037 Zap. Nauchn. Semin. POMI 317, 94-104 (2004); translation in J. Math. Sci., New York 136, No. 1, 3580-3585 (2006). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37K10 81R12 37K15 81U40 37K55 PDFBibTeX XMLCite \textit{E. Sh. Gutshabash}, Zap. Nauchn. Semin. POMI 317, 94--104 (2004; Zbl 1094.37037); translation in J. Math. Sci., New York 136, No. 1, 3580--3585 (2006) Full Text: arXiv EuDML
Ablowitz, M. J.; Prinari, B.; Trubatch, A. D. Integrable nonlinear Schrödinger systems and their soliton dynamics. (English) Zbl 1153.35389 Dyn. Partial Differ. Equ. 1, No. 3, 239-301 (2004). Reviewer: Peter Poláčik (Minneapolis) MSC: 35Q55 35K15 37K15 37K40 68U05 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Dyn. Partial Differ. Equ. 1, No. 3, 239--301 (2004; Zbl 1153.35389) Full Text: DOI
Villarroel, Javier; Ablowitz, Mark J. On the initial value problem for the KP II equation with data that do not decay along a line. (English) Zbl 1082.35137 Nonlinearity 17, No. 5, 1834-1866 (2004). Reviewer: Q. P. Liu (Beijing) MSC: 35Q53 37K15 PDFBibTeX XMLCite \textit{J. Villarroel} and \textit{M. J. Ablowitz}, Nonlinearity 17, No. 5, 1834--1866 (2004; Zbl 1082.35137) Full Text: DOI
Eskin, G. Inverse boundary value problems in domains with several obstacles. (English) Zbl 1074.35086 Inverse Probl. 20, No. 5, 1497-1516 (2004). MSC: 35R30 35Q40 78A46 44A15 35J10 PDFBibTeX XMLCite \textit{G. Eskin}, Inverse Probl. 20, No. 5, 1497--1516 (2004; Zbl 1074.35086) Full Text: DOI
Bernstein, Swanhild Multidimensional inverse scattering associated with the Schrödinger equation. (English) Zbl 1080.30044 Abłamowicz, Rafał (ed.), Clifford algebras. Applications to mathematics, physics, and engineering. Papers from the 6th international conference on Clifford algebras and their applications in mathematical physics, Cookeville, TN, USA, May 20–25, 2002. Boston, MA: Birkhäuser (ISBN 0-8176-3525-4/hbk). Progress in Mathematical Physics 34, 23-34 (2004). Reviewer: Piwen Yang (Sichuan) MSC: 30G35 PDFBibTeX XMLCite \textit{S. Bernstein}, Prog. Math. Phys. 34, 23--34 (2004; Zbl 1080.30044)
Aktosun, Tuncay Inverse scattering transform, KdV, and solitons. (English) Zbl 1062.37087 Ball, Joseph A. (ed.) et al., Current trends in operator theory and its applications. Proceedings of the international workshop on operator theory and its applications (IWOTA), Virginia Tech, Blacksburg, VA, USA, August 6–9, 2002. Basel: Birkhäuser (ISBN 3-7643-7067-X/hbk). Operator Theory: Advances and Applications 149, 1-22 (2004). MSC: 37K15 35Q53 35Q51 37K40 81U40 34A55 34L25 PDFBibTeX XMLCite \textit{T. Aktosun}, Oper. Theory: Adv. Appl. 149, 1--22 (2004; Zbl 1062.37087)
Jose, P.; Kanapady, R.; Tamma, K. K. Transform domain based hybrid element formulations for transient electromagnetic field computations. (English) Zbl 1109.78329 CMES, Comput. Model. Eng. Sci. 5, No. 5, 409-421 (2004). MSC: 78M30 78A46 PDFBibTeX XMLCite \textit{P. Jose} et al., CMES, Comput. Model. Eng. Sci. 5, No. 5, 409--421 (2004; Zbl 1109.78329)
Melin, Anders Some transforms in potential scattering in odd dimension. (English) Zbl 1062.35176 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, 103-134 (2004). MSC: 35R30 35J10 81U40 35P25 35Q40 PDFBibTeX XMLCite \textit{A. Melin}, Contemp. Math. 348, 103--134 (2004; Zbl 1062.35176)
Jalade, Emmanuel Inverse problem for a nonlinear Helmholtz equation. (English) Zbl 1062.35173 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 21, No. 4, 517-531 (2004). MSC: 35R30 35K60 PDFBibTeX XMLCite \textit{E. Jalade}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 21, No. 4, 517--531 (2004; Zbl 1062.35173) Full Text: DOI Numdam Numdam EuDML
Knudsen, K.; Mueller, J.; Siltanen, S. Numerical solution method for the \(\overline\partial\)-equation in the plane. (English) Zbl 1059.65116 J. Comput. Phys. 198, No. 2, 500-517 (2004). Reviewer: Kevin Burrage (Brisbane) MSC: 65P20 35N15 37D45 78A46 PDFBibTeX XMLCite \textit{K. Knudsen} et al., J. Comput. Phys. 198, No. 2, 500--517 (2004; Zbl 1059.65116) Full Text: DOI
Matsuno, Yoshimasa A Cauchy problem for the nonlocal nonlinear Schrödinger equation. (English) Zbl 1081.35105 Inverse Probl. 20, No. 2, 437-445 (2004). MSC: 35Q55 37K15 35P25 35R30 PDFBibTeX XMLCite \textit{Y. Matsuno}, Inverse Probl. 20, No. 2, 437--445 (2004; Zbl 1081.35105) Full Text: DOI
Kamchatnov, A. M. On Whitham theory for perturbed integrable equations. (English) Zbl 1045.37042 Physica D 188, No. 3-4, 247-261 (2004). MSC: 37K15 35Q55 35Q53 PDFBibTeX XMLCite \textit{A. M. Kamchatnov}, Physica D 188, No. 3--4, 247--261 (2004; Zbl 1045.37042) Full Text: DOI arXiv