Regularized long wave equation and inverse scattering transform

DOI10.1063/1.530087zbMath0776.35067OpenAlexW1970570876MaRDI QIDQ4203237

Chuntao Yan

Publication date: 8 September 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530087

zbMATH Keywords

Schrödinger equationsolitary wave solution

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) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

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Cites Work

• Numerical study of the regularized long-wave equation. II: Interaction of solitary waves
• Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method
• Solitary-wave interaction
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• The Korteweg–deVries Equation: A Survey of Results
• Euler operators and conservation laws of the BBM equation
• Model equations for long waves in nonlinear dispersive systems

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