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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.

Published online: 1997-10

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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.
  • Keywords

Travelling wave solution nonlocal advection

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@Article{JPDE-10-9, author = {Sixun Huang }, title = {Existence of Travelling Wave Solution of Nonlinear Equations with Nonlocal Advection}, journal = {Journal of Partial Differential Equations}, year = {1997}, volume = {10}, number = {1}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5578.html} }
TY - JOUR T1 - Existence of Travelling Wave Solution of Nonlinear Equations with Nonlocal Advection AU - Sixun Huang 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.
Sixun Huang . (1997). Existence of Travelling Wave Solution of Nonlinear Equations with Nonlocal Advection. Journal of Partial Differential Equations. 10 (1). 9-18. doi:
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