Representations of the multisolition solutions of the Korteweg-de Vries equation

DOI10.1016/0362-546X(94)90082-5zbMath0805.35111OpenAlexW2329175070MaRDI QIDQ4290939

Alan C. Bryan, Allan E. G. Stuart

Publication date: 5 May 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90082-5

zbMATH Keywords

representationKorteweg-de Vries equationmultisoliton solutions

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) Soliton equations (35Q51)

Related Items (2)

Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions ⋮ Solitons and the regularized long wave equation: a nonexistence theorem.

Cites Work

• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• On representations of the multisoliton solutions of the Sine-Gordon equation
• Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique
• An alternative explicit construction of N-soliton solutions in 1+1 dimensions
• Korteweg‐devries equation and generalizations. VI. methods for exact solution

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