Symmetries, reductions, exact solutions and conservation laws of the Zabolotskaya-KhokhlovEquation with a Dissipative Term

Abstract

Abstract: Using the modified Clarkson–Kruskal direct method, the symmetries reductions of the Zabolotskaya-KhokhlovEquation with a Dissipative Term are obtained. By solving the reduction equations, a great many of solutions are derived, including the rational functions solution, the trigonometric functions, hyperbolic functions and so on. The conservation laws are given at last.

Key words: the modified CK’s direct method, the DZK equation, symmetry reduction, exact solutions, conservation laws

CLC Number:

O175.29

FENG Chun-ming，LIU Qing-song. Symmetries, reductions, exact solutions and conservation laws of the Zabolotskaya-KhokhlovEquation with a Dissipative Term[J]. J4, 2015, 32(1): 46-52.

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