Soliton solutions for a second-order KdV equation
From MaRDI portal
Publication:1964439
DOI10.1016/0375-9601(94)90842-7zbMath0959.35504OpenAlexW2068583325MaRDI QIDQ1964439
Publication date: 6 February 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0375-9601(94)90842-7
Related Items (23)
A study on a two‐wave mode Kadomtsev–Petviashvili equation: conditions for multiple soliton solutions to exist ⋮ On the wave solutions of two-mode equations ⋮ A two-mode modified KdV equation with multiple soliton solutions ⋮ Multi-soliton solutions and Bäcklund transformation for a two-mode KdV equation in a fluid ⋮ Optical dual-waves to a new dual-mode extension of a third order dispersive nonlinear Schrödinger's equation ⋮ Multiple complex soliton solutions for the integrable KdV, fifth-order Lax, modified KdV, Burgers, and Sharma-Tasso-Olver equations ⋮ Symbolic computation on a second-order KdV equation ⋮ Solitons and symmetry reduction solutions of a nonlocal two‐mode Korteweg–de Vries equation ⋮ 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 ⋮ Multiple soliton solutions and other exact solutions for a two-mode KdV equation ⋮ 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 ⋮ Lie Symmetry Analysis and Conservation Laws of a Two-Wave Mode Equation for the Integrable Kadomtsev-Petviashvili Equation ⋮ A two-mode coupled Korteweg-de Vries: multiple-soliton solutions and other exact solutions ⋮ A two-mode Burgers equation of weak shock waves in a fluid: multiple kink solutions and other exact solutions ⋮ A reliable study of new nonlinear equation: two-mode Kuramoto-Sivashinsky ⋮ Geometric perspectives of the two-mode upgrade of a generalized Fisher-Burgers equation that governs the propagation of two simultaneously moving waves ⋮ THE SECOND-ORDER KdV EQUATION AND ITS SOLITON-LIKE SOLUTION ⋮ 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 ⋮ On wave solutions of a weakly nonlinear and weakly dispersive two-mode wave system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A review of the multiple scale and reductive perturbation methods for deriving uncoupled nonlinear evolution equations
- Traveling-wave solutions and the coupled Korteweg–de Vries equation
- Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
- On the Interactions of Permanent Waves of Finite Amplitude
- Integrals of nonlinear equations of evolution and solitary waves
- An integral equation for unsteady surface waves and a comment on the Boussinesq equation
This page was built for publication: Soliton solutions for a second-order KdV equation
