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首页> 外文期刊>Applied mathematics letters >Nonstandard bilinearization and interaction phenomenon for PT-symmetric coupled nonlocal nonlinear Schrodinger equations
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Nonstandard bilinearization and interaction phenomenon for PT-symmetric coupled nonlocal nonlinear Schrodinger equations

机译:PT对称耦合非局部非线性非线性非线性薛定林方程的非标准双绞线化和相互作用现象

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摘要

We develop a nonstandard bilinearization procedure to generate more general bright soliton, breather soliton and quasi-rogue wave solutions for the PT-symmetric coupled nonlocal nonlinear Schrodinger (CNNLS) equations. We achieve some novel solutions by bilinearizing both the CNNLS equations and their associated auxiliary equations in a novel way. The soliton equations are written into bilinear operator forms by means of auxiliary equations, then the 1-soliton solution and 2-soliton solution of PT-symmetric CNNLS equations are constructed. Some novel interaction properties of the PT-symmetric two-soliton solutions are derived, which can present the potential applications to the soliton wave phenomena in nonlocal wave models. (C) 2020 Elsevier Ltd. All rights reserved.
机译:我们开发了非标准的Bilinearization程序,为PT对称耦合非局部非线性Schrodinger(CNNL)方程产生更通用的明亮孤子,呼吸孤子和准流行波解。 我们通过以新颖的方式双重化CNNL方程和它们相关的辅助方程来实现一些新的解决方案。 通过辅助方程式写入孤子方程式的双线性操作员形式,然后构建1-溶溶溶溶液和PT对称CNNL方程的2-溶胶溶液。 推导出PT对称双孤子溶液的一些新型相互作用性质,其可以将潜在的应用呈现给非本体波模型中的孤子波现象。 (c)2020 elestvier有限公司保留所有权利。

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