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Traveling wave solutions to the two-dimensional Korteweg-de Vries equation

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Publication:1096798
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DOI10.1016/0022-247X(87)90154-5zbMath0634.35066MaRDI QIDQ1096798

Shih-Liang Wen, Yunkai Chen

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

Korteweg-de Vries equationsKorteweg-de Vriesinfinite sums of solitonsPeriodic wave solutions


Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)


Related Items

The unified Kadomtsev–Petviashvili equation for interfacial waves ⋮ Traveling waves in chains of pendula ⋮ Existence and uniqueness of a periodic solution to the two-dimensional generalized Korteweg-de Vries equation ⋮ On existence theorems of periodic traveling wave solutions to the two-dimensional korteweg-devries equation ⋮ On existence theorems of periodic traveling wave solutions to the two-dimensional korteweg-devries equation



Cites Work

  • N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation
  • Comments on Periodic Waves and Solitons
  • The Korteweg–deVries Equation: A Survey of Results
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