CASORATIAN SOLUTIONS AND NEW SYMMETRIES OF THE DIFFERENTIAL-DIFFERENCE KADOMTSEV–PETVIASHVILI EQUATION

DOI10.1142/S0217984909020254zbMath1184.37058OpenAlexW2141508959WikidataQ115246010 ScholiaQ115246010MaRDI QIDQ3638746

Xian-Long Sun, Jie Ji, Da-jun Zhang

Publication date: 28 October 2009

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217984909020254

zbMATH Keywords

symmetrydifferential-difference Kadomtsev-Petviashvili equationHirota's bilinear operatorCasoratian conditionthree-dimensional closed Lie algebra

Mathematics Subject Classification ID

Related Items (5)

The inverse scattering transform for the differential-difference Kadomtsev-Petviashvili equation ⋮ New solutions to the differential-difference KP equation ⋮ Non-isospectral flows of noncommutative differential-difference KP equation ⋮ SYMMETRIES AND LIE ALGEBRA OF THE DIFFERENTIAL–DIFFERENCE KADOMSTEV–PETVIASHVILI HIERARCHY ⋮ Degenerate Solutions of the Nonlinear Self-Dual Network Equation

Cites Work

• Soliton solution of three differential-difference equations in Wronskian form
• Lie algebraic structures of some (1+2)-dimensional Lax integrable systems.
• Singularity structure and algebraic properties of the differential-difference Kadomtsev-Petviashvili equation.
• Rational solutions of the Toda lattice equation in Casoratian form
• Lax pairs, symmetries and conservation laws of a differential-difference equation -- Sato's approach
• Classification of the line-soliton solutions of KPII
• AN APPLICATION OF THE CASORATIAN TECHNIQUE TO THE 2D TODA LATTICE EQUATION
• Wronskian and rational solutions of the differential-difference KP equation
• Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions

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