TY - JOUR
T1 - Existence of Travelling Wave Solution of Nonlinear Equations with Nonlocal Advection
JO - Journal of Partial Differential Equations
VL - 1
SP - 9
EP - 18
PY - 1997
DA - 1997/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5578.html
KW - Travelling wave solution
KW - nonlocal advection
AB -  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.