Existence of Travelling Wave Solution of Nonlinear Equations with Nonlocal Advection

Existence of Travelling Wave Solution of Nonlinear Equations with Nonlocal Advection

Year:    1997

Journal of Partial Differential Equations, Vol. 10 (1997), Iss. 1 : pp. 9–18

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1997-JPDE-5578

Journal of Partial Differential Equations, Vol. 10 (1997), Iss. 1 : pp. 9–18

Published online:    1997-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Travelling wave solution