Existence of traveling wave solutions for a nonlinear dissipative-dispersive equation

DOI10.1007/S10483-009-0411-6zbMath1165.74332OpenAlexW2082396924MaRDI QIDQ1030379

Mahmoud Bakheet A. Mansour

Publication date: 1 July 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-009-0411-6

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Dynamical systems methods for problems in mechanics (70G60)

Related Items (5)

A new auxiliary equation method for finding travelling wave solutions to KdV equation ⋮ \(H^1\) solutions for a Kuramoto-Velarde type equation ⋮ Solitary waves and periodic waves in a perturbed KdV equation ⋮ Coexistence of the solitary and periodic waves in convecting shallow water fluid ⋮ Well-posedness result for the Kuramoto-Velarde equation

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
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• Exact travelling wave solutions of nonlinear evolution equation of surface waves in a convecting fluid
• FURTHER RESULTS ON THE EVOLUTION OF SOLITARY WAVES AND THEIR BOUND STATES OF A DISSIPATIVE KORTEWEG-DE VRIES EQUATION
• Stability of steady states and existence of travelling waves in a vector-disease model

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