Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation

DOI10.1016/j.matcom.2009.06.006zbMath1179.35279OpenAlexW2029851719MaRDI QIDQ1038143

Guo-Fu Yu, Xing-Biao Hu

Publication date: 17 November 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.06.006

zbMATH Keywords

solitonsPfaffianKadomtsev-Petviashvili equationGrammian determinant

Mathematics Subject Classification ID

Soliton equations (35Q51) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (5)

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 ⋮ Grammian-type determinant solutions to generalized KP and BKP equations ⋮ Extended Gram-type determinant, wave and rational solutions to two (3+1)-dimensional nonlinear evolution equations ⋮ Wronskian and Grammian solutions to a \((3 + 1)\)-dimensional generalized KP equation

Cites Work

• Unnamed Item
• Unnamed Item
• Darboux transformation and explicit solutions of the Kadomtsev-Petviashvili equation, depending on functional parameters
• Wronskians, generalized Wronskians and solutions to the Korteweg-de Vries equation
• Complexiton solutions to the Korteweg-de Vries equation
• Complexiton solutions of the Korteweg-de Vries equation with self-consistent sources
• A bilinear approach to a Pfaffian self-dual Yang-Mills equation
• Wronskian solutions of the Boussinesq equation—solitons, negatons, positons and complexitons
• Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique
• A direct method for dromion solutions of the Davey-Stewartson equations and their asymptotic properties
• Bilinear Form Approach to the Self-Dual Yang-Mills Equations and Integrable Systems in (2+1)-Dimension
• Casorati and Discrete Gram Type Determinant Representations of Solutions to the Discrete KP Hierarchy
• Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
• Soliton, Positon and Negaton Solutions to a Schrödinger Self-consistent Source Equation
• On three-dimensional packets of surface waves
• Generalized Casorati Determinant and Positon–Negaton-Type Solutions of the Toda Lattice Equation
• Wave Instabilities

This page was built for publication: Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation