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Nonlinear localized wave conversions for a higher-order nonlinear Schrodinger-Maxwell-Bloch system with quintic terms in an erbium-doped fiber

机译:非线性局部波转换为高阶非线性Schrodinger-Maxwell-Bloch系统,具有铒掺杂光纤中的Quintic术语

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摘要

We discuss the possibility of breather-to-soliton conversions for a higher-order nonlinear Schrodinger-Maxwell-Bloch system with quintic terms describing the propagation of ultrashort optical pulses, up to the attosecond duration, in an erbium-doped fiber. The analytic forms for the vector breather solutions of that system with complex (not pure imaginary) eigenvalues are obtained with the Darboux transformation. With the special values of the eigenvalues, we find that vector breather solutions can be converted into the vector soliton solutions on the constant (not zero) backgrounds. The condition for such conversion is explicitly derived. We show the interactions between vector breathers and vector solitons.
机译:我们讨论了高阶非线性Schrodinger-Maxwell-Bloch系统的呼吸到孤独转换的可能性,并用五分之体术语描述了超短光脉冲的传播,直到掺铒光纤。 通过Darboux转化获得该系统的传染料通气解决方案的分析形式,具有复杂(不是纯虚构的)特征值。 通过特殊值的特殊值,我们发现矢量呼吸器解决方案可以转换为常数(不是零)背景的载体孤子解决方案。 明确地派生了这种转换的条件。 我们展示了矢量呼吸仪和载体孤子之间的相互作用。

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