On the Hirota Representation of Soliton Equations with One Tau-Function
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Publication:4672521
DOI10.1143/JPSJ.70.605zbMath1113.37312MaRDI QIDQ4672521
Ralph Willox, Franklin Lambert, Ignace Loris, Johan Springael
Publication date: 3 May 2005
Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items (9)
A numerical study on the \(N\)-periodic wave solutions of two coupled bilinear equations ⋮ A note on rational solutions to a Hirota-Satsuma-like equation ⋮ Bell-polynomial approach applied to the seventh-order Sawada-Kotera-Ito equation ⋮ Bell-polynomial construction of Bäcklund transformations with auxiliary independent variable for some soliton equations with one tau-function ⋮ Bell-polynomial approach and soliton solutions for the Zhiber-Shabat equation and (2+1)-dimensional Gardner equation with symbolic computation ⋮ Improved Bell-polynomial procedure for the higher-order Korteweg-de Vries equations in fluid dynamics ⋮ An ultradiscretization of the sine-Gordon equation ⋮ Rational solutions to an extended Kadomtsev-Petviashvili-like equation with symbolic computation ⋮ Analytical study on a two-dimensional Korteweg-de Vries model with bilinear representation, Bäcklund transformation and soliton solutions
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