A note on ``Explicit exact solutions to the compound Burgers-Korteweg-de Vries equation

DOI10.1016/S0375-9601(03)00617-0zbMath1040.35095MaRDI QIDQ1566204

Zhao-sheng Feng

Publication date: 1 June 2003

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

periodic solutionselliptic functionsparameter variation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Solutions to PDEs in closed form (35C05)

Related Items (12)

Traveling-wave solutions for Korteweg-de Vries-Burgers equations through factorizations ⋮ Closed-form solutions and conserved quantities of a new integrable \((2 +1)\)-dimensional Boussinesq equation of nonlinear sciences ⋮ Explicit traveling wave solutions of five kinds of nonlinear evolution equations ⋮ A note on solitary-wave solutions to compound KdV-Burgers equations ⋮ Qualitative analysis and traveling wave solutions for the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity ⋮ On traveling wave solutions to modified Burgers-Korteweg-de Vries equation ⋮ Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation ⋮ Kink wave determined by parabola solution of a nonlinear ordinary differential equation ⋮ Shock wave solutions of the compound Burgers-Korteweg-de Vries equation ⋮ A note on exact traveling solitary wave solutions of integrable Broer-Kaup (BK) equations in \((2+1)\)-dimensional spaces ⋮ Quadratic and Cubic Nonlinear Oscillators with Damping and Their Applications ⋮ Monotonous property of non-oscillations of the damped Duffing's equation

Uses Software

• RATH
• MACSYMA

Cites Work

• Exact solution to an approximate sine-Gordon equation in \((n+1)\)-dimensional space
• Auto-Bäcklund transformation and exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order
• Exact solutions for a compound KdV-Burgers equation
• Travelling solitary wave solutions to a compound KdV-Burgers equation.
• Strain kinks in an elastic rod embedded in a viscoelastic medium
• On explicit exact solutions to the compound Burgers-KdV equation
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