Steady state solution to the weakly damped forced Korteweg-de Vries equation

DOI10.1016/S1007-5704(98)90077-6zbMath0922.34021OpenAlexW2084895620MaRDI QIDQ1288380

Guoguang Lin, Bo-ling Guo

Publication date: 14 October 1999

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(98)90077-6

zbMATH Keywords

asymptotic behaviorsteady state solutionsnonlinear third-order periodic boundary value problemweakly damped forced Korteweg-de Vries equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for ordinary differential equations (34B15) KdV equations (Korteweg-de Vries equations) (35Q53)

Cites Work

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• Nonlinear perturbations of differential operators with nontrivial kernel and applications to third-order periodic boundary value problems
• Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
• Existence and Uniqueness Theorems for Three–Point Boundary Value Problems
• Periodic boundary value problems for third order ordinary differential equations
• Topological Transversality: Applications to Third Order Boundary value Problems
• A note on a boundary value problem

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