Green's Function Method for Periodic Traveling Wave Solutions of the KdV Equation

DOI10.1080/00036818308839432zbMath0515.35077OpenAlexW1966914089MaRDI QIDQ3662009

C. V. Pao, Bao-Ping Liu

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/00036818308839432

zbMATH Keywords

existenceGreen's functionKdV equationcompact operatorperiodic traveling waveintegral equation with a symmetrical kernel

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Integral representations of solutions to PDEs (35C15) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Periodic traveling wave solution for non-homogeneous BBM and KdVB equations ⋮ A remark on a paper by liu and pao on the existence of periodic travelling wave solution to the kdv 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

• Self-similar solutions of equations of Korteweg-deVries type
• Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
• Periodic solutions of the KdV equation
• Almost Periodic Solutions of the KdV Equation
• The Korteweg–deVries Equation: A Survey of Results