A class of exact solutions of \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation
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Publication:1662151
DOI10.1515/ijnsns-2016-0086zbMath1401.35272OpenAlexW2585386502MaRDI QIDQ1662151
Yao Ding, Shuang Liu, Jian-guo Liu
Publication date: 17 August 2018
Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ijnsns-2016-0086
KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)
Related Items
Lump solutions to the \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation, Solitons and periodic waves for a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation in fluid dynamics and plasma physics, Integrability, bilinearization and analytic study of new form of \((3 + 1)\)-dimensional B-type Kadomstev-Petviashvili (BKP)-Boussinesq equation
Cites Work
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- Multiple soliton solutions, soliton-type solutions and rational solutions for the (3+1)-dimensional potential-YTSF equation
- Bäcklund transformation and multi-soliton solutions for the (3+1)-dimensional BKP equation with Bell polynomials and symbolic computation
- Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm
- Linear superposition principle applying to Hirota bilinear equations
- A generalized \((\frac{G'}{G})\)-expansion method for the mKdV equation with variable coefficients
- Application of the \((\frac{G'}{G})\)-expansion method for nonlinear evolution equations
- A generalized \((\frac{G'}{G})\)-expansion method and its applications
- Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
- A class of exact solution of \((3+1)\)-dimensional generalized shallow water equation system
- Auto-Bäcklund transformation and analytic solutions for general variable-coefficient KdV equation
- The Calogero-Bogoyavlenskii-Schiff equation in \(2+1\) dimensions
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
- Extended Generalized Hyperbolic-function Method and New Exact Solutions of the Generalized Hamiltonian and NNV Equations by the Symbolic Computation
- Method for Solving the Korteweg-deVries Equation
- The Painlevé property for partial differential equations
- KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
- Nsoliton solutions to the Bogoyavlenskii-Schiff equation and a quest for the soliton solution in (3 1) dimensions
- Dromions, Dromion Lattice, Breathers and Instantons of the Davey–Stewartson Equation
- New Similarity Reduction Solutions for the (2+1)-Dimensional Nizhnik—Novikov—Veselov Equation
- Application of Hirota's bilinear formalism to the Toeplitz lattice - some special soliton-like solutions
