A two-mode coupled Korteweg-de Vries: multiple-soliton solutions and other exact solutions
From MaRDI portal
Publication:1749861
DOI10.1007/s11071-017-3668-xzbMath1390.35046OpenAlexW2741087897MaRDI QIDQ1749861
Muhammed I. Syam, Marwan Alquran, Husein M. Jaradat
Publication date: 17 May 2018
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-017-3668-x
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) Soliton solutions (35C08)
Related Items (11)
Lie symmetry analysis and conservation laws of two-mode Cahn-Allen equation ⋮ Solitons and symmetry reduction solutions of a nonlocal two‐mode Korteweg–de Vries equation ⋮ A coupled KdV system: consistent tanh expansion, soliton-cnoidal wave solutions and nonlocal symmetries ⋮ Shapes and dynamics of dual-mode Hirota-Satsuma coupled KdV equations: exact traveling wave solutions and analysis ⋮ Construction and solitary wave solutions of two-mode higher-order Boussinesq-Burger system ⋮ New dual-mode Kadomtsev-Petviashvili model with strong-weak surface tension: analysis and application ⋮ Construction of \((n+1)\)-dimensional dual-mode nonlinear equations: multiple shock wave solutions for \((3+1)\)-dimensional dual-mode Gardner-type and KdV-type ⋮ Dual-wave of resonant nonlinear Schrödinger's dynamical equation with different nonlinearities ⋮ Exact traveling wave solutions for the celebrated Gardner model and the nonlinear Klein-Gordon system by means of the celebrated unified method ⋮ Stationary wave solutions for new developed two-waves' fifth-order Korteweg-de Vries equation ⋮ Multiplicative of dual-waves generated upon increasing the phase velocity parameter embedded in dual-mode Schrödinger with nonlinearity Kerr laws
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiple kink solutions for two coupled integrable (2+1)-dimensional systems
- Gaussian solitary wave solutions for nonlinear evolution equations with logarithmic nonlinearities
- A study on the \((2 + 1)\)-dimensional and the \((2 + 1)\)-dimensional higher-order Burgers equations
- A Hamiltonian model and soliton phenomenon for a two-mode KdV equation
- Multiple kink solutions and multiple singular kink solutions for two systems of coupled Burgers-type equations
- Multiple-soliton solutions for the Boussinesq equation
- Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
- Electrohydrodynamic instability of a dielectric compressible liquid sheet streaming into an ambient stationary compressible gas
- Exact solutions for a new coupled MKdV equations and a coupled KdV equations
- A new simplified bilinear method for the \(N\)-soliton solutions for a generalized FmKdV equation with time-dependent variable coefficients
- On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV equations
- Symbolic computation on soliton solutions for variable-coefficient quantum Zakharov-Kuznetsov equation in magnetized dense plasmas
- A two-mode Burgers equation of weak shock waves in a fluid: multiple kink solutions and other exact solutions
- Adaptive multi-step differential transformation method to solving nonlinear differential equations
- Mathematical methods for a reliable treatment of the \((2+1)\)-dimensional Zoomeron equation
- The improved F-expansion method and its applications
- Soliton solutions for a second-order KdV equation
- Kinks and travelling wave solutions for Burgers-like equations
- An efficient implicit Runge-Kutta method for second order systems
- Numerical solution of singularly perturbed fifth order two point boundary value problem
- Multiple soliton solutions for the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov equation
- Multiple soliton solutions and other exact solutions for a two-mode KdV equation
- Sinc and solitary wave solutions to the generalized Benjamin–Bona–Mahony–Burgers equations
- Combined equations of the Burgers hierarchy: multiple kink solutions and multiple singular kink solutions
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Multi-soliton solutions of the BBM equation arisen in shallow water
- Multi-soliton solutions and Bäcklund transformation for a two-mode KdV equation in a fluid
- A variety of distinct kinds of multiple soliton solutions for a ( 3 + 1)‐dimensional nonlinear evolution equation
- The tanh and sine–cosine methods for higher order equations of Korteweg–de Vries type
- Variable coefficient equations of the Kadomtsev–Petviashvili hierarchy: multiple soliton solutions and singular multiple soliton solutions
- On wave solutions of a weakly nonlinear and weakly dispersive two-mode wave system
- Exact envelope-soliton solutions of a nonlinear wave equation
This page was built for publication: A two-mode coupled Korteweg-de Vries: multiple-soliton solutions and other exact solutions
