Collapsing states of generalized Korteweg-de Vries equations

DOI10.1016/0167-2789(89)90066-3zbMath0701.35133OpenAlexW2023677513MaRDI QIDQ914072

E. W. Laedke, Karl H. Spatschek, R. Blaha

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90066-3

zbMATH Keywords

collapsecritical exponentaction methodcollective coordinatefocusing singularityhigher nonlinear Korteweg-de Vries equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items

Wave collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation ⋮ On the stability of collapse in the critical case ⋮ Algorithmic framework for group analysis of differential equations and its application to generalized Zakharov-Kuznetsov equations ⋮ Asymptotic Behavior for a Class of Solutions to the Critical Modified Zakharov-Kuznetsov Equation ⋮ Stability and instability of periodic travelling wave solutions for the critical Korteweg-de Vries and nonlinear Schrödinger equations ⋮ An asymptotic approach to solitary wave instability and critical collapse in long-wave KdV-type evolution equations ⋮ Lie symmetry analysis and exact solutions of generalized fractional Zakharov-Kuznetsov equations

Cites Work

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