Exact chirped solutions of the perturbed Gerdjikov–Ivanov equation with spatio-temporal dispersion

Ming Tang
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引用次数: 1

Abstract

Abstract In this paper, the perturbed Gerdjikov–Ivanov equation with spatio-temporal dispersion is investigated. The trial equation method, the complex envelope travelling wave transformation, and the complete discriminant system for polynomial method, respectively, are all utilized. As a consequence, twenty-eight exact chirped solutions are obtained, and some representative two-dimensional patterns under concrete parameters are presented. The results acquired are conducive to studying the dynamic behavior of solitons.
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具有时空色散的扰动Gerdjikov-Ivanov方程的精确啁啾解
摘要本文研究了具有时空色散的扰动Gerdjikov-Ivanov方程。分别采用试方程法、复包络行波变换法和多项式完全判别系统法。得到了28个精确啁啾解,并给出了在具体参数下具有代表性的二维图形。所得结果有利于研究孤子的动力学行为。
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