Computing solutions to a forced KdV equation

DOI10.1016/j.nonrwa.2010.09.028zbMath1206.35222OpenAlexW2003919201MaRDI QIDQ619759

Alvaro H. Salas

Publication date: 18 January 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.09.028

zbMATH Keywords

soliton solutionsHirota's methodforced KdV\texttt{Mathematica 7}\texttt{Maple 13}

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Software, source code, etc. for problems pertaining to partial differential equations (35-04) Soliton solutions (35C08)

Related Items (14)

Bell polynomials approach for two higher-order KdV-type equations in fluids ⋮ Some conservation laws for a forced KdV equation ⋮ Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation ⋮ Solving nonlinear partial differential equations by the sn-ns method ⋮ Parametric analysis of dust ion acoustic waves in superthermal plasmas through non-autonomous KdV framework ⋮ Symmetries, solutions and conservation laws of a class of nonlinear dispersive wave equations ⋮ Lie group analysis of a forced KdV equation ⋮ A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing ⋮ EXACT SOLITON SOLUTIONS AND QUASI-PERIODIC WAVE SOLUTIONS TO THE FORCED VARIABLE-COEFFICIENT KdV EQUATION ⋮ New exact solutions to sinh-cosh-Gordon equation by using techniques based on projective Riccati equations ⋮ Construction of \(N\)-soliton solutions to (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) equations ⋮ On the Integrability of a Generalized Variable‐Coefficient Forced Korteweg‐de Vries Equation in Fluids ⋮ On the second-order approximate symmetry classification and optimal systems of subalgebras for a forced Korteweg-de Vries equation ⋮ Integrability, bilinearization, solitons and exact three wave solutions for a forced Korteweg-de Vries equation

Uses Software

• Maple
• Mathematica

Cites Work

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