Journal of Shanghai University（Natural Science Edition） ›› 2011, Vol. 17 ›› Issue (3): 270-274.doi: doi:10.3969/j.issn.1007-2861.2011.03.11
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Abstract: In this paper, we seek exact solutions to the (2+1)dimensional Bogoyavlenskii’s breaking soliton equation and (3+1) dimensional KadomtsevPetviashvili (K-P) equation by G′/Gexpansion method, and obtain non-traveling wave solutions including hyperbolic function solutions, trigonometric function solutions and rational solutions. The method is effective for high-dimensional NLPDEs in mathematical physics.
Key words: Bogoyavlenskii’s breaking soliton equation, G′/Gexpansion method, Kadomtsev-Petviashvili (K-P) equation, symbolic computation
CLC Number:
O 175.29
SHI Zhen-Hua, XIA Tie-Cheng. New Method to Solve High-Dimensional Nonlinear Evolution Equations with Symbolic Computation[J]. Journal of Shanghai University（Natural Science Edition）, 2011, 17(3): 270-274.
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URL: https://www.journal.shu.edu.cn/EN/doi:10.3969/j.issn.1007-2861.2011.03.11
https://www.journal.shu.edu.cn/EN/Y2011/V17/I3/270
