Some new solutions for the Derrida-Lebowitz-Speer-Spohn equation

被引：1
|
作者：
Ramirez, J. [1 ]
Romero, J. L. [1 ]
Tracina, R. [2 ]
机构：
[1] Univ Cadiz, Dept Matemat, Cadiz, Spain
[2] Dipartimento Matemat & Informat, I-95125 Catania, Italy
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2013年 / 18卷 / 09期
关键词：
Derrida-Lebowitz-Speer-Spohn equation; Classical symmetries; Exact solutions; Compactons; Soliton-compactons; EXISTENCE; FAMILY;
D O I：
10.1016/j.cnsns.2013.01.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The well-known Derrida-Lebowitz-Speer-Spohn equation is investigated. By using specific ansatze and the classical symmetries of the equation, several families of new exact solutions have been found. In particular, there appear traveling waves that include compactons and soliton-compactons. Some other solutions conserve the mass and exhibit diffusion and convection processes from an instantaneous source and localized peakons. (C) 2013 Elsevier B.V. All rights reserved.
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页码：2388 / 2397
页数：10
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