Nonlinear nonlocal Whitham equation on a segment

DOI10.1016/j.na.2004.07.002zbMath1064.45008OpenAlexW1970158995MaRDI QIDQ1887975

Elena I. Kaikina

Publication date: 22 November 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.07.002

zbMATH Keywords

initial-boundary value problemglobal existencepseudodifferential operatordissipative nonlinear evolution equationlarge time asymptotic behaviornonlinear nonlocal Whitham equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Asymptotics of solutions to integral equations (45M05)

Related Items (2)

Optimal homotopy analysis and control of error for solutions to the non-local Whitham equation ⋮ Global behavior for Whitham type equations on a finite interval

Cites Work

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• Asymptotics in time for nonlinear nonlocal Schrödinger equations with a source
• Asymptotics as \(t\to\infty\) of the solutions of nonlinear equations with nonsmall initial perturbations
• On the boundary‐value problem for the Korteweg–de Vries equation
• Holomorphic solutions of semilinear heat equations
• Large-time behaviour of solutions to the dissipative nonlinear Schrödinger equation
• Asymptotics of solutions to the boundary-value problem for the Korteweg-de Vries-Burgers equation on a half-line
• Local and global existence of solutions to the nonlocal Whitham equation on half-line.

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