The dynamic behaviors between multi-soliton of the generalized \((3+1)\)-dimensional variable coefficients Kadomtsev-Petviashvili equation
From MaRDI portal
Publication:6132380
DOI10.1007/s11071-020-05900-3zbMath1525.35062OpenAlexW3081866649MaRDI QIDQ6132380
Publication date: 16 August 2023
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-020-05900-3
variable coefficientsdynamic behaviorgeneralized unified methodgeneralized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
Related Items (3)
Exact solutions to the fractional complex Ginzburg-Landau equation with time-dependent coefficients under quadratic-cubic and power law nonlinearities ⋮ Construction of abundant solutions for two kinds of \((3+1)\)-dimensional equations with time-dependent coefficients ⋮ Bilinear Bäcklund transformation, Lax pair and interactions of nonlinear waves for a generalized \((2 + 1)\)-dimensional nonlinear wave equation in nonlinear optics/fluid mechanics/plasma physics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Towards a unified method for exact solutions of evolution equations. An application to reaction diffusion equations with finite memory transport
- Nonlocal symmetry, Darboux transformation and soliton-cnoidal wave interaction solution for the shallow water wave equation
- Darboux transformation and explicit solutions of the Kadomtsev-Petviashvili equation, depending on functional parameters
- One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada-Kotera equation
- The Hirota's bilinear method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Kadomtsev-Petviashvili equation
- New nonautonomous combined multi-wave solutions for \((2+1)\)-dimensional variable coefficients KdV equation
- Applications of some transformations for several variable-coefficient nonlinear evolution equations from plasma physics, arterial mechanics, nonlinear optics and Bose-Einstein condensates
- On multi-soliton solutions for the \((2+1)\)-dimensional breaking soliton equation with variable coefficients in a graded-index waveguide
- Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method
- Nonlinear interaction of solitary waves described by multi-rational wave solutions of the \((2+1)\)-dimensional Kadomtsev-Petviashvili equation with variable coefficients
- A Generalization of Inverse Scattering Method
- Painlevé Analysis, Soliton Collision and Bäcklund Transformation for the (3+1)-Dimensional Variable-Coefficient Kadomtsev—Petviashvili Equation in Fluids or Plasmas
- Variable coefficient equations of the Kadomtsev–Petviashvili hierarchy: multiple soliton solutions and singular multiple soliton solutions
- Soliton and periodic solutions for time-dependent coefficient non-linear equation
- Multi-soliton rational solutions for quantum Zakharov-Kuznetsov equation in quantum magnetoplasmas
- On a generalized Kadomtsev–Petviashvili equation with variable coefficients via symbolic computation
This page was built for publication: The dynamic behaviors between multi-soliton of the generalized \((3+1)\)-dimensional variable coefficients Kadomtsev-Petviashvili equation
