Exact solutions and conservation laws of a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation
DOI10.1007/s10773-023-05425-6zbMath1529.35451OpenAlexW4385457671MaRDI QIDQ6170003
Ben Muatjetjeja, Abdullahi Rashid Adem, M. C. Sebogodi
Publication date: 15 August 2023
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-023-05425-6
conservation lawsLie symmetry analysisintegrable nonlinear partial differential equation model of the sixth-order
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) Applications of Lie groups to the sciences; explicit representations (22E70) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
Cites Work
- Unnamed Item
- Rosenau-KdV equation coupling with the Rosenau-RLW equation: conservation laws and exact solutions
- Symbolic computation on exact solutions of a coupled Kadomtsev-Petviashvili equation: Lie symmetry analysis and extended tanh method
- \(N\)-soliton solution of a combined pKP-BKP equation
- Observation of resonant solitons and associated integrable properties for nonlinear waves
- \(M\)-lump solution, soliton solution and rational solution to a \((3+1)\)-dimensional nonlinear model
- Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws
- Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients
- Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation
- Soliton solutions to the B-type Kadomtsev-Petviashvili equation under general dispersion relations