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By using the generally projective Riccati equation method, more new exact travelling wave solutions to extended
nonlinear Schrödinger equation (NLSE), which describes the
femtosecond pulse propagation in monomode optical fiber,
are found, which include bright soliton solution, dark soliton
solution, new solitary waves, periodic solutions, and rational
solutions. The finding of abundant solution structures for
extended NLSE helps to study the movement rule of femtosecond
pulse propagation in monomode optical fiber. 相似文献
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BAI Cheng-Lin BAI Cheng-Jie ZHAO Hong 《理论物理通讯》2005,44(5):821-826
A generalized variable-coefficient algebraic method is appfied to construct several new families of exact solutions of physical interest for (3+1)-dimensional Kadomtsev-Petviashvilli (KP) equation. Among them, the Jacobi elliptic periodic solutions exactly degenerate to the soliton solutions at a certain limit condition. Compared with the existing tanh method, the extended tanh method, the Jacobi elliptic function method, and the algebraic method, the proposed method gives new and more general solutions. 相似文献
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By the application of the extended homogeneous balance
method, we derive an auto-Bäcklund transformation (BT) for
(2+1)-dimensional variable coefficient generalized KP equations. Based on
the BT, in which there are two homogeneity equations to be solved, we obtain
some exact solutions containing single solitary waves. 相似文献
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Backlünd transformation and multiple soliton solutions for the (3+1)-dimensional Nizhnik-Novikov-Veselov equation
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We develop an approach to construct multiple soliton solutions of the (3+1)-dimensional nonlinear evolution equation. We take the (3+1)-dimensional Nizhnik-Novikov-Veselov (NNV) equation as an example. Using the extended homogeneous balance method, one can find a Backlünd transformation to decompose the (3+1)-dimensional NNV into a set of partial differential equations. Starting from these partial differential equations, some multiple soliton solutions for the (3+1)-dimensional NNV equation are obtained by introducing a class of formal solutions. 相似文献
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Using the modified extended tanh-function method,
explicit and exact traveling wave solutions for the (2+1)-dimensional
higher-order Broer-Kaup (HBK) system, comprising new soliton-like and
period-form solutions, are obtained. 相似文献
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Based on a newly improved artificial fish swarm algorithm– local neighborhood artificial fish swarm algorithm (LNAFSA), we studied its application for adaptive polarization mode dispersion (PMD) compensation. In the adopted local neighborhood structure, each artificial fish only communicated with other five neighboring artificial fishes. Under a simulated 40?Gb/s adaptive second-order PMD compensation for non-return- to-zero and carrier-suppressed return-to-zero formats, the study demonstrated the effectiveness of LNAFSA. In a defined searching process, the eye diagrams showed that the algorithm resulted in an effective compensation effect and produced the maximum consuming time within 300?ms. Much better performance than simplex algorithm and genetic algorithm was also observed. In tracking process, LNAFSA achieved the goal of compensation in about 14?ms. 相似文献
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