An initial-value problem for the defocusing modified Korteweg-de Vries equation

DOI10.1016/j.jde.2011.09.039zbMath1230.35119OpenAlexW2022301508MaRDI QIDQ652466

J. A. Leach

Publication date: 14 December 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.09.039

zbMATH Keywords

Korteweg-de Vries equationtravelling waveshock wave solutioncanonical dispersive equationcomplete large structuredefocusing modified equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic expansions of solutions to PDEs (35C20) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Traveling wave solutions (35C07)

Related Items (2)

Dispersive and Diffusive-Dispersive Shock Waves for Nonconvex Conservation Laws ⋮ Dynamic soliton–mean flow interaction with non-convex flux

Cites Work

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• Formation of shocklike modified Korteweg–de Vries solitons: Application to double layers
• Modulational instability of cnoidal wave solutions of the modified Korteweg–de Vries equation
• The evolution of travelling wavefronts in a hyperbolic Fisher model. III. The initial-value problem when the initial data has exponential decay rates

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