A note on solitary-wave solutions to compound KdV-Burgers equations

DOI10.1016/j.physleta.2003.09.003zbMath1044.35075OpenAlexW2038695950MaRDI QIDQ1409353

E. John Parkes

Publication date: 13 October 2003

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2003.09.003

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

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Cites Work

• Unnamed Item
• Exact solution to an approximate sine-Gordon equation in \((n+1)\)-dimensional space
• An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
• A note on ``Explicit exact solutions to the compound Burgers-Korteweg-de Vries equation
• 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.
• Exact Solutions to the Burgers–Korteweg–de Vries Equation
• The first-integral method to study the Burgers–Korteweg–de Vries equation
• Explicit exact solitary-wave solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order
• On explicit exact solutions to the compound Burgers-KdV equation