共查询到10条相似文献,搜索用时 109 毫秒
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《Chaos, solitons, and fractals》2007,31(1):95-104
By means of a simple transformation technique, we have shown that the higher-order nonlinear Schrödinger equation in nonlinear optical fibers, a new Hamiltonian amplitude equation, generalized Hirota–Satsuma coupled system and generalized ZK-BBM equation can be reduced to the elliptic-like equation. Then, the extended F-expansion method is used to obtain a series of solutions including the single and the combined nondegenerative Jacobi elliptic function solutions and their degenerative solutions to the above mentioned class of nonlinear evolution equations. 相似文献
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《Communications in Nonlinear Science & Numerical Simulation》2008,13(3):547-553
The elliptic equation method is improved for constructing exact travelling wave solutions of nonlinear partial differential equations (PDEs). The rational forms of Jacobi elliptic functions are presented. By using new Jacobi elliptic function solutions of the elliptic equation, new doubly periodic solutions are obtained for some important PDEs. This method can be applied to many other nonlinear PDEs. 相似文献
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By using F-expansion method proposed recently, we derive the periodic wave solution expressed by Jacobi elliptic functions for Konopelchenko-Dubrovsky equation. In the limit case, the solitary wave solution and other type of the traveling wave solutions are derived. 相似文献
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Zhenya Yan 《Applied Mathematics Letters》2009,22(4):448-452
In this Letter, the discrete nonlinear Schrödinger equation with a saturable nonlinearity is investigated via the extended Jacobi elliptic function expansion method. As a consequence, with the aid of symbolic computation, a variety of new envelope periodic wave solutions are obtained in terms of Jacobi elliptic functions. In particular, the discrete dark soliton solution is also given. We analyze the structures of some of the obtained solutions via the figures. 相似文献
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通过使用符号计算系统Mathematica,并借助于推广的F-展开法,我们得到了Klein- Gordon-Zakharov方程组的用不同Jacobi椭圆函数表示的一系列周期波解.在极限情况下,还求出了对应的孤立波解. 相似文献
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Variable coefficient and Wick-type stochastic nonlinear Schrödinger (NLS) equations are investigated. By using white noise analysis, Hermite transform and extended F-expansion method, we obtain a number of Wick versions of periodic-like wave solutions and periodic wave solutions expressed by various Jacobi elliptic functions for Wick-type stochastic and variable coefficient NLS equations, respectively. In the limit cases, the soliton-like wave solutions are showed as well. Since Wick versions of functions are usually difficult to evaluate, we get some nonWick versions of the solutions for Wick-type stochastic NLS equations in special cases. 相似文献
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An improved generalized F-expansion method is proposed to seek exact solutions of nonlinear evolution equations. With the aid of symbolic computation, we choose the generalized nonlinear Schrodinger equation with a source to illustrate the validity and advantages of the proposed method. Many new and more general non-travelling wave solutions are obtained, including single and combined non-degenerate Jacobi elliptic function solutions, solitons-like solutions, trigonometric function solutions and rational solutions. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in physics. 相似文献
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本文针对耦合Schrodinger-Boussinesq方程组,借助于F-展开法得到了用不同Jacobi椭圆函数表示的一系列周期波解.在极限情况下,还求出了对应的孤立波解. 相似文献
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耦合Schr(o)dinger-Boussinesq方程组的显式精确解 总被引:4,自引:0,他引:4
本文针对耦合Schrodinger-Boussinesq方程组,借助于F-展开法得到了用不同Jacobi椭圆函数表示的一系列周期波解.在极限情况下,还求出了对应的孤立波解. 相似文献