Exact solutions and invariants of motion for general types of regularized long wave equations

DOI10.1016/j.matcom.2004.01.015zbMath1059.35118OpenAlexW2014277895MaRDI QIDQ598538

Sumit K. Garg

Publication date: 6 August 2004

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2004.01.015

zbMATH Keywords

DispersionNonlinearitySolitary wavesExact solutionsEqual width wave equationInvariants of motion

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (9)

Local radial basis functions and scale-3 Haar wavelets operational matrices based numerical algorithms for generalized regularized long wave model ⋮ Numerical analysis of generalized regularized long wave equation using the element-free kp-Ritz method ⋮ Two efficient methods for solving the generalized regularized long wave equation ⋮ Solution of the generalized regularized long-wave equation with optimal spline collocation technique and implicit Crank–Nicolson as well as explicit SSP-RK43 scheme ⋮ Nonlinear Analysis of Perturbed Rotating Whirlpools in the Ocean and Atmosphere ⋮ Element-free approximation of generalized regularized long wave equation ⋮ Solitary-wave solutions of the GRLW equation using septic B-spline collocation method ⋮ A conservative linear difference scheme for the 2D regularized long-wave equation ⋮ Exact solutions and conservation laws for coupled generalized Korteweg-de Vries and quintic regularized long wave equations

Cites Work

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• Scattering of regularized-long-wave solitary waves
• 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
• Model equations for long waves in nonlinear dispersive systems
• Explicit exact solitary-wave solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order

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