Interaction phenomenon and breather wave to the extend \((3 + 1)\)-dimensional Kadomtsev-Petviashvili equation
From MaRDI portal
Publication:2084848
DOI10.1016/J.JMAA.2022.126650zbMath1498.35471OpenAlexW4293571872MaRDI QIDQ2084848
Ru Guan, Wenxia Chen, Lixin Tian
Publication date: 13 October 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126650
Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)
Related Items (1)
Uses Software
Cites Work
- Nonlocal symmetry, Darboux transformation and soliton-cnoidal wave interaction solution for the shallow water wave equation
- Solitons and infinite dimensional Lie algebras
- A deformed reduced semi-discrete Kaup-Newell equation, the related integrable family and Darboux transformation
- Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
- A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs.
- The inverse scattering transform and soliton solutions of a combined modified Korteweg-de Vries equation
- An integrable lattice hierarchy based on suris system: \(N\)-fold Darboux transformation and conservation laws
- Residual symmetries, \(n\)th Bäcklund transformation and interaction solutions for (2+1)-dimensional generalized Broer-Kaup equations
- Dynamics of the breather waves, rogue waves and solitary waves in an extend Kadomtsev-Petviashvili equation
- Mixed lump-kink solutions to the KP equation
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- Solitons for the (2+1)-dimensional Konopelchenko-Dubrovsky equations
- Conservation laws by symmetries and adjoint symmetries
- Bäcklund transformation, rogue wave solutions and interaction phenomena for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation
- Integrability aspects of some two-component KdV systems
- Rational solutions and interaction solutions for a fourth-order nonlinear generalized Boussinesq water wave equation
- The wrinkle-like N-solitons for the thermophoretic motion equation through graphene sheets
- Riemann-Hilbert problems and soliton solutions of nonlocal reverse-time NLS hierarchies
- Rogue wave and a pair of resonance stripe solitons to KP equation
- Novel interaction phenomena of localized waves in the generalized (3+1)-dimensional KP equation
- Dynamics of interaction between lumps and solitons in the Mel'nikov equation
- Painlevé analysis, soliton molecule, and lump solution of the higher-order Boussinesq equation
- Lump and line soliton pairs to a \((2+1)\)-dimensional integrable Kadomtsev-Petviashvili equation
- Lump solutions to the Kadomtsev-Petviashvili equation
- The \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation: nonlocal symmetries and interaction solutions
- Two integrable lattice hierarchies and their respective Darboux transformations
- Breather wave solutions for the Kadomtsev‐Petviashvili equation with variable coefficients in a fluid based on the variable‐coefficient three‐wave approach
- An integrable coupling hierarchy of Dirac integrable hierarchy, its Liouville integrability and Darboux transformation
- Lump and lump-soliton interaction solutions for an integrable variable coefficient Kadomtsev–Petviashvili equation
- Novel high‐order breathers and rogue waves in the Boussinesq equation via determinants
- Inverse scattering transforms and soliton solutions of nonlocal reverse‐space nonlinear Schrödinger hierarchies
This page was built for publication: Interaction phenomenon and breather wave to the extend \((3 + 1)\)-dimensional Kadomtsev-Petviashvili equation
