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The non-traveling wave solutions and novel fractal soliton for the (2 + 1)-dimensional Broer–Kaup equations with variable coefficients

✍ Scribed by Bangqing Li; Yulan Ma


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
582 KB
Volume
16
Category
Article
ISSN
1007-5704

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✦ Synopsis


A method is proposed by extending the linear traveling wave transformation into the nonlinear transformation with the (G 0 /G)-expansion method. The non-traveling wave solutions with variable separation can be constructed for the (2 + 1)-dimensional Broer-Kaup equations with variable coefficients via the method. A novel class of fractal soliton, namely, the cross-like fractal soliton is observed by selecting appropriately the arbitrary functions in the solutions.