On exact solutions of the regularized long-wave equation: A direct approach to partially integrable equations. I. Solitary wave and solitons

DOI10.1063/1.530976zbMath0842.35108OpenAlexW2028044965MaRDI QIDQ4873510

Allen Parker

Publication date: 5 May 1996

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

Full work available at URL: https://doi.org/10.1063/1.530976

zbMATH Keywords

solitary-wave solutionsnonexistence of multisoliton solutionsregularized long-wave Boussinesq equations

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

• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
• Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method
• Solitary-wave interaction
• On the periodic solution of the Burgers equation: a unified approach
• Periodic solutions of the intermediate long-wave equation: a nonlinear superposition principle
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Euler operators and conservation laws of the BBM equation
• Regularized long wave equation and inverse scattering transform
• Model equations for long waves in nonlinear dispersive systems
• Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices

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