Symmetry Reduction, Exact Solutions, and Conservation Laws of （2＋1）-Dimensional Burgers Korteweg-de Vries Equation

Using the classical Lie method of infinitesimals, we first obtain the symmetry of the （2＋1）-dimensional Burgers-Korteweg-de-Vries （3D-BKdV） equation. Then we reduce the 3D-BKdV equation using the symmetry and give some exact solutions of the 3D-BKdV equation. When using the direct method, we restric...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 46; no. 1; pp. 15 - 20
Main Author DONG Zhong-Zhou LIU Xi-Qiang BAI Cheng-Lin
Format Journal Article
LanguageEnglish
Published 2006
Subjects
3维BKdV方程
守恒法则
无穷小量
精确解
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Summary:Using the classical Lie method of infinitesimals, we first obtain the symmetry of the （2＋1）-dimensional Burgers-Korteweg-de-Vries （3D-BKdV） equation. Then we reduce the 3D-BKdV equation using the symmetry and give some exact solutions of the 3D-BKdV equation. When using the direct method, we restrict a condition and get a relationship between the new solutions and the old ones. Given a solution of the 3D-BKdV equation, we can get a new one from the relationship. The relationship between the symmetry obtained by using the classical Lie method and that obtained by using the direct method is also mentioned. At last, we give the conservation laws of the 3D-BKdV equation.
Bibliography:O411
11-2592/O3
3D-BKdV equation, classical Lie method, direct method, conservation laws
ISSN:0253-6102