Solving unsteady Korteweg–de Vries equation and its two alternatives

DOI10.1002/MMA.3727zbMath1344.35120OpenAlexW2233242620MaRDI QIDQ5739249

Kamruzzaman Khan, M. Ali Akbar

Publication date: 15 July 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3727

zbMATH Keywords

KdV equationtraveling waveregularized long-wave equationgeneralized Kudryashov methodtime regularized long-wave equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07) Soliton solutions (35C08) Trigonometric solutions to PDEs (35C09)

Related Items (4)

Wave solutions and numerical validation for the coupled reaction-advection-diffusion dynamical model in a porous medium ⋮ Construction of traveling wave solutions of the (2 + 1)‐dimensional modified KdV‐KP equation ⋮ Construction of the numerical and analytical wave solutions of the Joseph–Egri dynamical equation for the long waves in nonlinear dispersive systems ⋮ On the exact solutions of two \((3+1)\)-dimensional nonlinear differential equations

Uses Software

• Unnamed Item

Cites Work

• Unnamed Item
• Solitons and conservation laws of coupled Ostrovsky equation for internal waves
• Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations
• Traveling wave solutions of nonlinear evolution equations via the enhanced \((G^{\prime}/G)\)-expansion method
• Additional conservation laws for Rosenau-KdV-RLW equation with power law nonlinearity by Lie symmetry
• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• Modified simple equation method for nonlinear evolution equations
• Exact travelling wave solutions for some nonlinear \((N+1)\)-dimensional evolution equations
• Adiabatic parameter dynamics of perturbed solitary waves
• 1-soliton solution of the \(K(m,n)\) equation with generalized evolution
• Homotopy perturbation method for solving fourth-order boundary value problems
• Exp-function method for nonlinear wave equations
• Soliton perturbation theory for nonlinear wave equations
• 1-soliton solution of the \(K(m,n)\) equation with generalized evolution and time-dependent damping and dispersion
• 1-soliton solution of the coupled KdV equation and Gear-Grimshaw model
• Solitary waves for power-law regularized long-wave equation and \(R(m,n)\) equation
• New exact traveling wave solutions of some nonlinear higher-dimensional physical models
• Solitons and other solutions of the long-short wave equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• New soliton solutions for Sasa–Satsuma equation
• Singular 1-Soliton Solution of the K<span class="cmr-10">(</span><span class="cmmi-10">m,n</span><span class="cmr-10">) </span>Equation with Generalized Evolutions and Its Subsidiaries
• Soliton Solutions of the Long-Short Wave Equation with Power Law Nonlinearity
• Model equations for long waves in nonlinear dispersive systems

This page was built for publication: Solving unsteady Korteweg–de Vries equation and its two alternatives