Cross-kink multi-soliton solutions for the 3 1-D Jimbo-Miwa equationReportar como inadecuado




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In this paper, by using bilinear form and extendedthree-wave type of ans¨atz approach, we obtain new cross-kink multi-solitonsolutions of the 3+1-dimensional Jimbo-Miwa equation, including the periodic breather-typeof kink three-soliton solutions, the cross-kink four-soliton solutions, thedoubly periodic breathertype of soliton solutions and the doubly periodicbreather-type of cross-kink two-soliton solutions. It is shown that thegeneralized three-wave method, with the help of symbolic computation, providesan effective and powerful mathematical tool for solving high dimensionalnonlinear evolution equations in mathematical physics.

KEYWORDS

Jimbo-Miwa equation; Extended three-wave method; Cross-kink multi-soliton.

Cite this paper

Xu, Z. and Chen, H. 2012 Cross-kink multi-soliton solutions for the 3+1-D Jimbo-Miwa equation. Open Journal of Applied Sciences, 2, 215-218. doi: 10.4236-ojapps.2012.24B049.





Autor: Zhenhui Xu, Hanlin Chen

Fuente: http://www.scirp.org/



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