Volume 10, Issue 1
Existence of Travelling Wave Solution of Nonlinear Equations with Nonlocal Advection

Sixun Huang

J. Part. Diff. Eq., 10 (1997), pp. 9-18.

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  • Abstract

In this paper, the existence of travelling wave solution for nonlinear equation wiili non local advection ρ\frac{∂}{∂t}(\frac{u^m}{m}) = \frac{∂²u}{∂x²}-\frac{∂}{∂x}[φ(k∗u)u]+u^nf(u) is studied in the case of m ≥ 1, n ≥ 1. When ε,φ, f, m and n satisfy some determinate conditions, there exists the travelling wave solution.

  • History

Published online: 1997-10

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