Computing exact solutions for some fifth KdV equations with forcing term

DOI10.1016/j.amc.2008.06.033zbMath1160.35526OpenAlexW2018052847MaRDI QIDQ2378919

Alvaro H. Salas, Cesar A. Gómez

Publication date: 14 January 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.06.033

zbMATH Keywords

nonlinear PDEnonlinear evolution equationSawada-Kotera equationLax equationforcing termnonlinear ODEextended tanh methodfifth order KdVFKdV

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton equations (35Q51)

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Cites Work

• General projective Riccati equation method and exact solutions for generalized KdV-type and KdV-Burgers-type equations with nonlinear terms of any order
• Special forms of the fifth-order KdV equation with new periodic and soliton solutions
• Some solutions for a type of generalized Sawada-Kotera equation
• A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
• Integrals of nonlinear equations of evolution and solitary waves