On existence theorems of periodic traveling wave solutions to the two-dimensional korteweg-devries equation

DOI10.1080/00036818808839812zbMath0631.35080OpenAlexW2066669786MaRDI QIDQ5903481

Yunmei Chen

Publication date: 1988

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818808839812

zbMATH Keywords

global existencedispersive systemBenjamin-Bona-Mahony equationspolynomial-like growth

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

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• Traveling wave solutions to the two-dimensional Korteweg-de Vries equation
• Green's Function Method for Periodic Traveling Wave Solutions of the KdV Equation
• On periodic traveling wave solutions of Boussinesq equation
• A remark on a paper by liu and pao on the existence of periodic travelling wave solution to the kdv equation
• The Korteweg–deVries Equation: A Survey of Results