Initial/boundary value problems and Darboux-Levi-type transformations associated with a \(2+1\)-dimensional eigenfunction equation

DOI10.1016/0020-7462(94)00045-CzbMath0836.35143OpenAlexW2056495245MaRDI QIDQ1905474

Colin Rogers, Wolfgang K. Schief, M. P. Stallybrass

Publication date: 10 January 1996

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(94)00045-c

zbMATH Keywords

Lax representation Sawada-Kotera equation Darboux-Levi theorem nonlinear eigenfunction equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (7)

Formal analysis of the Cauchy problem for a system associated with the \((2+1)\)-dimensional Krichever-Novikov equation ⋮ Solitons for a \((2+1)\)-dimensional Sawada-Kotera equation via the Wronskian technique ⋮ Multi soliton solutions, M-lump waves and mixed soliton-lump solutions to the Awada-Kotera equation in \((2+1)\)-dimensions ⋮ Interaction behaviors for the \((2+1)\)-dimensional Sawada-Kotera equation ⋮ New bilinear Bäcklund transformation with multisoliton solutions for the (2+1)-dimensional Sawada-Kotera model ⋮ MULTI-SOLITON SOLUTIONS AND THEIR INTERACTIONS FOR THE (2+1)-DIMENSIONAL SAWADA-KOTERA MODEL WITH TRUNCATED PAINLEVÉ EXPANSION, HIROTA BILINEAR METHOD AND SYMBOLIC COMPUTATION ⋮ Lump Solutions and Interaction Phenomenon for (2+1)-Dimensional Sawada–Kotera Equation

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