Generalized W∞ symmetry algebra of the conditionally integrable nonlinear evolution equation

DOI10.1063/1.530975zbMath0842.35118OpenAlexW2031897863MaRDI QIDQ4873509

Jianping Weng, Sen-yue Lou

Publication date: 5 May 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530975

zbMATH Keywords

Kadomtsev-Petviashvili equationJimbo-Miwa equationformal series symmetry approach

Mathematics Subject Classification ID

Related Items (7)

New solitary wave solutions for two nonlinear evolution equations ⋮ New extended rational expansion method and exact solutions of Boussinesq equation and Jimbo-Miwa equations ⋮ Search for high dimensional integrable models ⋮ Decompositions and linear superpositions of B‐type Kadomtsev‐Petviashvili equations ⋮ Painlevé analysis, infinite dimensional symmetry group and symmetry reductions for the (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation ⋮ Higher-dimensional dromion structures: Jimbo–Miwa–Kadomtsev–Petviashvili system ⋮ Solutions of Jimbo-Miwa equation and Konopelchenko-Dubrovsky equations

Cites Work

• Solitons and infinite dimensional Lie algebras
• The generalized symmetry algebra of the bilinear Kadomtsev-Petviashvili equation
• Point symmetries of conditionally integrable nonlinear evolution equations
• Are all the equations of the Kadomtsev–Petviashvili hierarchy integrable?
• Symmetry algebras of the potential Nizhnik–Novikov–Veselov model
• Generalized symmetries and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">w</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>algebras in three-dimensional Toda field theory
• Generalized symmetries and algebras of the two-dimensional differential-difference Toda equation
• Symmetries and algebras of the integrable dispersive long wave equations in (2+1)-dimensional spaces

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