A \((2+1)\)-dimensional sinh-Gordon equation and its Pfaffian generalization

DOI10.1016/j.physleta.2006.07.031zbMath1236.35147OpenAlexW1975858644MaRDI QIDQ942648

Hong-Yan Wang, Xing-Biao Hu, Hasi Gegen

Publication date: 5 September 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.07.031

zbMATH Keywords

Wronskianbilinear formBäcklund transformationpfaffianization\((2+1)\)-dimensional sinh-Gordon equation

Mathematics Subject Classification ID

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) Second-order nonlinear hyperbolic equations (35L70) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (9)

Solitons, breathers and rational solutions for a (2+1)-dimensional dispersive long wave system ⋮ General soliton and (semi-)rational solutions of a \((2+1)\)-dimensional sinh-Gordon equation ⋮ A NOTE ON THE EXACT SOLUTION OF THE SPECIAL MODIFIED KdV EQUATION ⋮ JACOBI ELLIPTIC FUNCTION SOLUTION OF GINZBURG–LAUDAU EQUATION BASED ON BCS THEORY ⋮ Elastic-inelastic-interaction coexistence and double Wronskian solutions for the Whitham-Broer-Kaup shallow-water-wave model ⋮ Analytical solutions of KdV equation with relaxation effect of inhomogeneous medium ⋮ An integral evolution formula of boundary value problem for wave equations ⋮ A new (2+1)-dimensional generalization of the modified Korteweg-deVries equation and its infinitely many symmetries ⋮ Rational solutions of a (2+1)-dimensional sinh-Gordon equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two-dimensional Schrödinger operator: inverse scattering transform and evolutional equations
• Pfaffianization of the Davey-Stewartson equations
• Pfaffianization of the two-dimensional Toda lattice
• Negative Kadomtsev-Petviashvili equation and extension of the sinh-Gordon equation
• A bilinear approach to a Pfaffian self-dual Yang-Mills equation
• Pfaffianization of the discrete KP equation
• Integrable two-dimensional generalisation of the sine- and sinh-Gordon equations
• A model unified field equation
• Hierarchies of Coupled Soliton Equations. I
• A search for bilinear equations passing Hirota’s three-soliton condition. II. mKdV-type bilinear equations
• The Sine-Gordon Equation as a Model for a Rapidly Rotating Baroclinic Fluid
• Negative Kadomtsev–Petviashvili Hierarchy
• On three-dimensional packets of surface waves
• Pfaffianization of the Differential-Difference KP Equation
• Wave Instabilities

This page was built for publication: A \((2+1)\)-dimensional sinh-Gordon equation and its Pfaffian generalization