Solitons and rouge waves for a generalized \((3+1)\)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics
DOI10.1016/j.camwa.2016.03.022zbMath1443.76115OpenAlexW2339996220MaRDI QIDQ2007245
Wen-Rong Sun, Jun Chai, Xi-Yang Xie, Bo Tian
Publication date: 12 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2016.03.022
solitonsfluid mechanicsauto-Bäcklund transformationhomoclinic breather wavesrouge wavesgeneralized \((3+1)\)-dimensional variable-coefficient Kadomtsev-Petviashvili equation
KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Traveling wave solutions (35C07)
Related Items (18)
Cites Work
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- Pfaffian solutions to a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation and its modified counterpart
- The nonlinear Schrödinger equation and the propagation of weakly nonlinear waves in optical fibers and on the water surface
- Dark solitonic interaction and conservation laws for a higher-order \((2+1)\)-dimensional nonlinear Schrödinger-type equation in a Heisenberg ferromagnetic spin chain with bilinear and biquadratic interaction
- Explicit bi-soliton-like solutions for a generalized KP equation with variable coefficients
- Painlevé property, auto-Bäcklund transformation and analytic solutions of a variable-coefficient modified Korteweg-de Vries model in a hot magnetized dusty plasma with charge fluctuations
- Nonclassical symmetry reductions for the Kadomtsev-Petviashvili equation
- Exterior differential expression of the \((1+1)\)-dimensional nonlinear evolution equation with Lax integrability
- Singular periodic soliton solutions and resonance for the Kadomtsev-Petviashvili equation
- Complete integrability of the Kadomtsev-Petviashvili equation
- Rogue wave for the (\(2 + 1\))-dimensional Kadomtsev-Petviashvili equation
- Comment on: ``Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation
- Painlevé Analysis, Soliton Collision and Bäcklund Transformation for the (3+1)-Dimensional Variable-Coefficient Kadomtsev—Petviashvili Equation in Fluids or Plasmas
- Hierarchies of Coupled Soliton Equations. I
- The Painlevé property for partial differential equations
- On a family of solutions of the Kadomtsev–Petviashvili equation which also satisfy the Toda lattice hierarchy
- Variable coefficient equations of the Kadomtsev–Petviashvili hierarchy: multiple soliton solutions and singular multiple soliton solutions
- Classification of exact solutions to the generalized Kadomtsev–Petviashvili equation
- Novel Wronskian Condition and New Exact Solutions to a (3 + 1)-Dimensional Generalized KP Equation
- On a generalized Kadomtsev–Petviashvili equation with variable coefficients via symbolic computation
- Exact envelope-soliton solutions of a nonlinear wave equation
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