期刊
PHYSICS LETTERS A
卷 305, 期 6, 页码 383-392出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/S0375-9601(02)01516-5
关键词
special-type nonlinear equation; Jacobi elliptic function method; Jacobi doubly periodic wave solution; triangular periodic solution; soliton solution; symbolic computation
The Jacobi elliptic function method with symbolic computation is extended to special-type nonlinear equations for constructing their doubly periodic wave solutions. Such equations cannot be directly dealt with by the method and require some kinds of pre-possessing techniques. It is shown that soliton solutions and triangular solutions can be established as the limits of the Jacobi doubly periodic wave solutions. The different Jacobi function expansions may lead to new Jacobi doubly periodic wave solutions, triangular periodic solutions and soliton solutions. In addition, as an illustrative sample, the properties for the Jacobi doubly periodic wave solutions of the coupled Schrodinger-KdV equation are shown with some figures. (C) 2002 Elsevier Science B.V. All tights reserved.
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