A CLASS OF EXACT, PERIODIC-SOLUTIONS OF NONLINEAR ENVELOPE EQUATIONS
A CLASS OF EXACT, PERIODIC-SOLUTIONS OF NONLINEAR ENVELOPE EQUATIONS
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DOI：
10.1063/1.530951
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发表时间：
1995-08-01
影响因子：
1.3
通讯作者：
CHOW, KW
中科院分区：
文献类型：
--
作者：
CHOW, KW
一类非线性包络方程的周期解，例如，非线性薛定谔方程（NLS）用椭圆函数的有理函数表示。广田双线性变换和θ函数被用来扩展和推广这类解决方案首次报道的NLS在文献中。特别是高阶NLS和Davey-Stewartson（DS）方程。得到了DSI和DSII方程的双周期驻波解。一个符号处理软件被用来独立地确认解决方案的有效性。(C)1995年美国物理学会。
A class of periodic solutions of nonlinear envelope equations, e.g., the nonlinear Schrodinger equation (NLS), is expressed in terms of rational functions of elliptic functions. The Hirota bilinear transformation and theta functions are used to extend and generalize this class of solutions first reported for NLS earlier in the literature. In particular a higher order NLS and the Davey-Stewartson (DS) equations are treated. Doubly periodic standing waves solutions are obtained for both the DSI and DSII equations. A symbolic manipulation software is used to confirm the validity of the solutions independently. (C) 1995 American Institute of Physics.