Periodic and solitary wave solutions of the three-wave problem. A different approach

DOI10.1007/BF00670380zbMath0674.35081OpenAlexW2078404562MaRDI QIDQ1121462

R. S. Banerjee, A. Roy Chowdhury, Manojit Debnath

Publication date: 1989

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00670380

zbMATH Keywords

inverse scattering transformexplicit solutionsspectral parameterthree-wave systembilinear combinations of eigenfunctionsexactly integrable

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Solitary waves for incompressible inviscid fluids (76B25) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)

Cites Work

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• Spectral theory for the periodic sine-Gordon equation: A concrete viewpoint