Existence and uniqueness of a periodic solution to the two-dimensional generalized Korteweg-de Vries equation

zbMath0754.35152MaRDI QIDQ1192075

Daxin Wu, Shih-Liang Wen

Publication date: 27 September 1992

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1991__86__89_0

zbMATH Keywords

existenceuniquenessinitial problem

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10)

Cites Work

• Traveling wave solutions to the two-dimensional Korteweg-de Vries equation
• Periodic solutions of Kadomtsev-Petviashvili
• A uniqueness theorem for the two-dimensional generalized Korteweg de- Vries equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• On the Interaction of Nearly Equal Solitons in the KdV Equation
• The Korteweg–deVries Equation: A Survey of Results
• On existence theorems of periodic traveling wave solutions to the two-dimensional korteweg-devries equation
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