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1. Conditional Similarity Reduction Method and Complex Wave Excitations for a High-Dimensional Nonlinear System.

Author

Lin, Fu-Zhong and Ma, Song-Hua

Subjects
*SIMILARITY (Physics), *NONLINEAR evolution equations, *MATHEMATICAL functions, *WATER waves, *ARBITRARY constants, *NONLINEAR systems, *LIE groups, *SOLITONS
Abstract

With the help of the conditional similarity reduction method, a new family of complex wave solutions with q= lx + my + kt + Γ( x, y, t) for the (2+1)-dimensional modified dispersive water-wave (MDWW) system are obtained. Based on the derived solitary wave solution, some novel complex wave localised excitations are investigated. [ABSTRACT FROM AUTHOR]

Published
2015
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