中国物理B ›› 2003, Vol. 12 ›› Issue (3): 245-250.doi: 10.1088/1009-1963/12/3/301
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王跃明1, 王明亮2, 张金良3, 方宗德3
Zhang Jin-Liang (张金良)a), Wang Yue-Ming (王跃明)b), Wang Ming-Liang (王明亮)b)c), Fang Zong-De (方宗德)a)
摘要: The homogeneous balance principle has been widely applied to the exploration of nonlinear transformation, exact solutions (especially solitary wave solution), dromion and similarity reduction to the nonlinear partial differential equations in mathematical physics. In this paper, we use the homogeneous balance principle to derive B?cklund transformations for nonlinear partial differential equations that have more nonlinear terms and more highest-order partial derivative terms. With the aid of the B?cklund transformations derived here, we could obtain exact solutions to the nonlinear partial differential equations. The Davey-Stewartson equation and the Nizhnik-Novikov-Veselov equation are considered as the examples.
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