# Travelling wave solutions for some degenerate parabolic equations (II)

Travelling wave solutions for some degenerate parabolic equations (II) In this paper, we study the existence and regularity of travelling wave front solutions for some degenerate parabolic equations $$\left( {u^m /m} \right)_t = u_{xx} + u^n f(u),$$ wherem, n > 0 andf(u) ∼ 1 −u. We show that the existence and regularity of travelling wave front solutions depend on the parametersm, n and the wave speedc. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

# Travelling wave solutions for some degenerate parabolic equations (II)

, Volume 9 (4) – Jul 13, 2005
7 pages

/lp/springer-journals/travelling-wave-solutions-for-some-degenerate-parabolic-equations-ii-tGEIJA0wSL
Publisher
Springer Journals
Copyright © 1993 by Science Press, Beijing, China and Allerton Press, Inc. New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02005925
Publisher site
See Article on Publisher Site

### Abstract

In this paper, we study the existence and regularity of travelling wave front solutions for some degenerate parabolic equations $$\left( {u^m /m} \right)_t = u_{xx} + u^n f(u),$$ wherem, n > 0 andf(u) ∼ 1 −u. We show that the existence and regularity of travelling wave front solutions depend on the parametersm, n and the wave speedc.

### Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 13, 2005

### References

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