Dynamical analysis of rational and semi‐rational solution for a new extended (3 + 1)‐dimensional Kadomtsev‐Petviashvili equation
DOI10.1002/mma.8608zbMath1529.35138OpenAlexW4289711674MaRDI QIDQ6182172
Yingying Xie, Yongsheng Yan, Lingfei Li
Publication date: 21 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8608
integrabilityhydrodynamicbilinear forminteractionrational solutionrogue wavesemi-rational solutionlump soliton
PDEs in connection with fluid mechanics (35Q35) Series solutions to PDEs (35C10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08) Polynomial solutions to PDEs (35C11)
Cites Work
- The first integral method for Wu-Zhang system with conformable time-fractional derivative
- An algorithmic method in Painlevé analysis of PDE
- Symbolic computation of the Painlevé test for nonlinear partial differential equations using Maple
- Searching for Painlevé integrable conditions of nonlinear PDEs with constant parameters using symbolic computation
- On a reduction of the generalized Darboux-Halphen system
- Lump solutions to a \((2+1)\)-dimensional extended KP equation
- Semi-rational solutions for the \((2 + 1)\)-dimensional nonlocal Fokas system
- Resonant soliton and complexiton solutions for \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation
- Lax pairs for one of hierarchies similar to the first Painlevé hierarchy
- Multiple-order rogue waves for the generalized \(( 2 + 1)\)-dimensional Kadomtsev-Petviashvili equation
- Breather, multi-shock waves and localized excitation structure solutions to the extended BKP-Boussinesq equation
- A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups
- Triple-pole soliton solutions of the derivative nonlinear Schrödinger equation via inverse scattering transform
- A super KdV equation of Kupershmidt: Bäcklund transformation, Lax pair and related discrete system
- Investigations of the complex wave patterns to the generalized Calogero-Bogoyavlenskii-Schiff equation
- Pattern formation and evidence of quantum turbulence in binary Bose-Einstein condensates interacting with a pair of Laguerre-Gaussian laser beams
- PDEPtest: a package for the Painlevé test of nonlinear partial differential equations
- Water waves, nonlinear Schrödinger equations and their solutions
- Solitons and rational solutions of nonlinear evolution equations
- Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations
- Semi-rational solutions of the third-type Davey-Stewartson equation
- Young diagrams and N-soliton solutions of the KP equation
- On integrability of the extended (3+1)‐dimensional Jimbo‐Miwa equation
This page was built for publication: Dynamical analysis of rational and semi‐rational solution for a new extended (3 + 1)‐dimensional Kadomtsev‐Petviashvili equation