Solutions to the perturbed KdV equation

DOI10.1016/0165-2125(91)90050-XzbMath0832.35124MaRDI QIDQ1194123

Yu. K. Ehngel'brekht

Publication date: 27 September 1992

Published in: Wave Motion (Search for Journal in Brave)

zbMATH Keywords

stationary statesnumerical solutionsimplicit solutionsasymptotic approaches

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Perturbations in context of PDEs (35B20)

Related Items (5)

A note on the progressive wave solution of the perturbed Korteweg-deVries equation with variable dissipation ⋮ An analytical solution to the dissipative nonlinear Schrödinger equation. ⋮ Solitary waves in elastic tubes filled with a layered fluid ⋮ A note on the solution of perturbed Korteweg-de Vries equation. ⋮ A note on the analytical solution to the modified perturbed Korteweg-de Vries equation.

Cites Work

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• Chaotic perturbations of KdV. I. Rational solutions
• KdV solitons in active media
• Short-wave asymptotics for weak shock waves and solitons in mechanics
• Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation
• Effects of empirical dissipation terms in the solution of the undular bore

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