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Solutions of a (2+1)-dimensional dispersive long wave equation | | Chun-Li Chen
; Xiao-Yan Tang
; Sen-Yue Lou
; | | Date: |
31 Aug 2002 | | Journal: | Phys Rev E, 66 (3 Pt 2B), 036605 | | Abstract: | A special type of multisoliton solution with a particular dispersion relation is obtained for Wu-Zhang equation [which describes (2+1)-dimensional dispersive long waves] by the standard Weiss-Tabor-Carnvale Painlevé truncation expansion. Using a nonstandard truncation of a modified Conte’s invariant Painlevé expansion, two different types of soliton solutions without any dispersive relation is found. Two types of periodic wave solutions expressed by Jacobi elliptic functions are found by the truncations of a special extended Painlevé expansion. The soliton solutions are special cases of the corresponding periodic solutions. | | Source: | PubMed, pmid12366278 | | Services: | Forum | Review | Favorites | |
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