Exact solutions and conservation laws for coupled generalized Korteweg-de Vries and quintic regularized long wave equations

DOI10.1016/j.na.2005.02.024zbMath1224.35358OpenAlexW2027212618MaRDI QIDQ999929

J. Martínez

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.02.024

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton equations (35Q51)

Related Items

Solitary wave solutions of the one-dimensional Boussinesq equations, The method of lines for solution of the one-dimensional wave equation subject to an integral conservation condition, Efficiency of high-order accurate difference schemes for the Korteweg-de Vries equation, A conservative linear difference scheme for the 2D regularized long-wave equation, Method of lines solutions of the parabolic inverse problem with an overspecification at a point

Cites Work

• Exact solutions and invariants of motion for general types of regularized long wave equations
• Pulsating multiplet solutions of quintic wave equations
• Exact solutions of extended Boussinesq equations
• Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
• Euler operators and conservation laws of the BBM equation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Model equations for long waves in nonlinear dispersive systems