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Solitons, chaos and fractals in the (2+1)-dimensional dispersive long wave equation

机译:(2 + 1)维色散长波方程中的孤子,混沌和分形

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摘要

For a higher-dimensional integrable nonlinear dynamical system, there are abundant coherent soliton excitations. With the aid of a projective Riccati equation approach, the paper obtains several types of exact solutions to the (2 + 1)-dimensional dispersive long wave (DLW) equation which include multiple soliton solution, periodic soliton solution and Weierstrass function solution. Subsequently, several multisolitons are derived and some novel features are revealed by introducing lower-dimensional patterns. (c) 2006 Elsevier Ltd. All rights reserved.
机译:对于高维可积非线性动力学系统,存在大量相干孤子激发。借助射影Riccati方程方法,本文获得了(2 +1)维色散长波(DLW)方程的几种精确解,包括多重孤子解,周期孤子解和Weierstrass函数解。随后,通过引入低维图案,派生出了多个孤子,并揭示了一些新颖的特征。 (c)2006 Elsevier Ltd.保留所有权利。

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