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首页> 外文期刊>Journal of Electromagnetic Waves and Applications >Bright-dark solitary wave solutions of generalized higher-order nonlinear Schrodinger equation and its applications in optics
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Bright-dark solitary wave solutions of generalized higher-order nonlinear Schrodinger equation and its applications in optics

机译:广义高阶非线性施罗德格方程的明亮暗孤波解及其在光学中的应用

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摘要

Analysis of short-pulse propagation in positive dispersion media for example in optical fibers and in shallow water, requires assorted high-order derivative terms. The different dynamical features underlying soliton interactions in the generalized higher-order nonlinear Schrodinger equation, which model multimode wave propagation under varied physical situations in nonlinear optics, are studied. In this paper, the new exact solitary solutions in generalized form of generalized higher-order nonlinear Schrodinger equation (NLSE) are constructed with the aid of symbolic computation by employing modified extended direct algebraic method. The complex physical phenomena of generalized higher-order NLSE can be understand from the obtained solutions. The computational work shows that the current method is simple, general, powerful, effective, and wider applicable. Moreover, several new complex higher-order NLSEs that arising in mathematical physics can also be solved by this efficient method.
机译:阳性色散介质中的短脉冲传播分析,例如在光纤中和浅水中,需要各种大奖衍生物术语。 孤子相互作用的不同动态特征在广义上的高阶非线性薛定兆方程中,研究了非线性光学器件中各种物理情况下的多模波传播的多模波传播。 本文通过采用修改的延伸直接代理方法,借助于符号计算构建了广义高阶非线性Schrodinger方程(NLSE)中的新的精确孤立溶液。 广义高阶NLSE的复杂物理现象可以从所获得的解决方案中理解。 计算工作表明,目前的方法简单,一般,强大,有效,更广泛。 此外,还可以通过这种有效的方法解决了数学物理学中出现的几个新的复杂高阶NLS。

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