Grammian Determinant Solution and Pfaffianization for a (3+1)-Dimensional Soliton Equation
From MaRDI portal
Publication:5852339
DOI10.1088/0253-6102/52/5/05zbMath1183.35237OpenAlexW2043595279MaRDI QIDQ5852339
Publication date: 27 January 2010
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0253-6102/52/5/05
Grammian determinant solutionGram-type Pfaffian solutionPfaffianization(3+1)-dimensional soliton equation
Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items (13)
Wronskian and Grammian conditions, and Pfaffianization of an extended \((3+1)\)-dimensional Jimbo-Miwa equation ⋮ Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm ⋮ Framework of extended BKP equations possessing N‐wave solutions in (2+1)‐dimensions ⋮ Soliton solutions, travelling wave solutions and conserved quantities for a three-dimensional soliton equation in plasma physics ⋮ Grammian-type determinant solutions to generalized KP and BKP equations ⋮ Mixed lump-soliton solutions of the \((3+1)\)-dimensional soliton equation ⋮ Extended Gram-type determinant, wave and rational solutions to two (3+1)-dimensional nonlinear evolution equations ⋮ The solitary wave, rogue wave and periodic solutions for the \((3+1)\)-dimensional soliton equation ⋮ The modified semi-discrete two-dimensional Toda lattice with self-consistent sources ⋮ Wronskian and Grammian solutions to a \((3 + 1)\)-dimensional generalized KP equation ⋮ Pfaffian solutions and extended Pfaffian solutions to \((3+1)\)-dimensional Jimbo-Miwa equation ⋮ Bilinear form and solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow-water waves ⋮ Dynamical soliton wave structures of one-dimensional Lie subalgebras via group-invariant solutions of a higher-dimensional soliton equation with various applications in ocean physics and mechatronics engineering
This page was built for publication: Grammian Determinant Solution and Pfaffianization for a (3+1)-Dimensional Soliton Equation