首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >A new nonlinear integrable fifth-order equation: multiple soliton solutions with unusual phase shifts
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A new nonlinear integrable fifth-order equation: multiple soliton solutions with unusual phase shifts

机译:一种新的非线性可分配的第五阶等式:具有异常相移的多个孤子解决方案

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摘要

In this work, a new nonlinear integrable fifth-order equation has been developed, which is examined to explore the movable critical points by using Painleve test. It has been demonstrated that this equation passes the Painleve test along with required number of arbitrary functions to confirm its complete integrability. Also, the newly developed equation is characterized by real and complex dispersion relations. Various types of multiple soliton solutions and multiple complex soliton solutions are furnished uniformly by employing the Hirota's direct method. The interaction of solitons reveal unusual phase shifts, which are unlike the KdV type of phase shifts.
机译:在这项工作中,已经开发出一种新的非线性可分类的第五阶方程,通过使用痛苦的测试来研究可移动关键点。 已经证明,该等式通过止痛试验以及所需数量的任意函数来确认其完全可积。 此外,新开发的等式的特征在于实际和复杂的分散关系。 通过采用Hirota的直接方法均匀地提供各种类型的多种孤子溶液和多种复合溶胶溶液。 孤子的相互作用揭示了不寻常的相移,这与KDV类型的相移不同。

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