Symmetry Reductions, Exact Solutions and Conservation Laws of the (3 + 1)-dimensional Nonlinear Evolution Equation

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Volume 7, Issue 4

Wen-JianLIU

J. Info. Comput. Sci. , 7 (2012), pp. 315-320.

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Abstract

Using the modified CK's direct method, we build the relationship between new solutions and old ones and the (3+1)-dimensional nonlinear evolution equation. Based on the invariant group theory, Lie symmetries of the (3+1)-dimensional nonlinear evolution equation are obtained. In addition, applying the given Lie symmetry, we obtain the similarity reduction and new exact solutions, At last, we give the conservation laws of the (3+1)-dimensional nonlinear evolution equation.

Keywords

(3+1)-dimensional nonlinear evolution equation modified CK direct method direct symmetry method exact solution conservation laws

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@Article{JICS-7-315, author = {Wen-JianLIU}, title = {Symmetry Reductions, Exact Solutions and Conservation Laws of the (3 + 1)-dimensional Nonlinear Evolution Equation}, journal = {Journal of Information and Computing Science}, year = {2012}, volume = {7}, number = {4}, pages = {315--320}, abstract = { Using the modified CK's direct method, we build the relationship between new solutions and old ones and the (3+1)-dimensional nonlinear evolution equation. Based on the invariant group theory, Lie symmetries of the (3+1)-dimensional nonlinear evolution equation are obtained. In addition, applying the given Lie symmetry, we obtain the similarity reduction and new exact solutions, At last, we give the conservation laws of the (3+1)-dimensional nonlinear evolution equation. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22638.html} }

TY - JOUR T1 - Symmetry Reductions, Exact Solutions and Conservation Laws of the (3 + 1)-dimensional Nonlinear Evolution Equation AU - Wen-JianLIU JO - Journal of Information and Computing Science VL - 4 SP - 315 EP - 320 PY - 2012 DA - 2012/12 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22638.html KW - (3+1)-dimensional nonlinear evolution equation KW - modified CK direct method KW - direct symmetry method KW - exact solution KW - conservation laws AB - Using the modified CK's direct method, we build the relationship between new solutions and old ones and the (3+1)-dimensional nonlinear evolution equation. Based on the invariant group theory, Lie symmetries of the (3+1)-dimensional nonlinear evolution equation are obtained. In addition, applying the given Lie symmetry, we obtain the similarity reduction and new exact solutions, At last, we give the conservation laws of the (3+1)-dimensional nonlinear evolution equation.

Wen-JianLIU. (2012). Symmetry Reductions, Exact Solutions and Conservation Laws of the (3 + 1)-dimensional Nonlinear Evolution Equation. Journal of Information and Computing Science. 7 (4). 315-320. doi:

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