Bilinear forms, bilinear Bäcklund transformation, soliton and breather interactions of a damped variable-coefficient fifth-order modified Korteweg-de Vries equation for the surface waves in a strait or large channel
DOI10.1016/j.cjph.2021.09.004zbMath1541.35432MaRDI QIDQ6542126
Liu-Qing Li, Xin Yu, Ting-Ting Jia, Cai-Yin Zhang, Unnamed Author, Yi-Tian Gao
Publication date: 21 May 2024
Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)
bilinear formsmulti-soliton solutionsbilinear Bäcklund transformationmulti-pole solutionsbreather and hybrid solutionsdamped variable-coefficient fifth-order modified Korteweg-de Vries equation
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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
Related Items (6)
Cites Work
- Unnamed Item
- Interactions of breathers and solitons in the extended Korteweg-de Vries equation
- Lie group classification and invariant solutions of mKdV equation with time-dependent coefficients
- Bilinear transformation method
- Soliton solution of some nonlinear partial differential equations and its applications in fluid mechanics
- A note on the Jacobi elliptic function expansion method
- Propagation of kink and anti-kink wave solitons for the nonlinear damped modified Korteweg-de Vries equation arising in ion-acoustic wave in an unmagnetized collisional dusty plasma
- Water-wave symbolic computation for the Earth, Enceladus and Titan: the higher-order Boussinesq-Burgers system, auto- and non-auto-Bäcklund transformations
- A nonlocal variable coefficient modified KdV equation derived from a two-layer fluid system and its exact solutions
- Mixed soliton solutions of the defocusing nonlocal nonlinear Schrödinger equation
- Breather, soliton-breather interaction and double-pole solutions of the fifth-order modified KdV equation
- Dark soliton solutions for a coupled nonlinear Schrödinger system
- Breather and hybrid solutions for a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation for the water waves
- Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation
- Dust-ion-acoustic solitary waves in a hot magnetized dusty plasma with charge fluctuations
- The exact solution and integrable properties to the variable-coefficient modified Korteweg-de Vries equation
- Wave interactions and the analysis of the perturbed Burgers' equation
- An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
- High-order rogue wave solutions for the coupled nonlinear Schrödinger equations-II
- Long-Time Asymptotics for the Nonlocal MKdV Equation*
- On interfacial solitary waves over slowly varying topography
- Lax Pair and Darboux Transformation for a Variable-Coefficient Fifth-Order Korteweg-de Vries Equation with Symbolic Computation
- Breather, lump, shock and travelling-wave solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics
- Two new integrable modified KdV equations, of third-and fifth-order, with variable coefficients: multiple real and multiple complex soliton solutions
- Dark soliton excitations and collisions for the (2+1)-dimensional variable-coefficient Davey-Stewartson-like equations in the plasmas or Bose-Einstein condensates
- Higher order nonlinear dust-acoustic waves in a dusty plasma with dust of opposite polarity
- Interactions among solitons for a fifth-order variable coefficient nonlinear Schrödinger equation
- 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
- Breathers, multi-peak solitons, breather-to-soliton transitions and modulation instability of the variable-coefficient fourth-order nonlinear Schrödinger system for an inhomogeneous optical fiber
This page was built for publication: Bilinear forms, bilinear Bäcklund transformation, soliton and breather interactions of a damped variable-coefficient fifth-order modified Korteweg-de Vries equation for the surface waves in a strait or large channel