Abstract
The form-I version of the new celebrated Biswas-Arshed equation is studied in this work with the aid of complex envelope ansatz method. The equation is considered when self-phase is absent and velocity dispersion is negligibly small. New Dark-bright optical soliton solution of the equation emerge from the integration. The acquired solution combines the features of dark and bright solitons in one expression. The solution obtained are not yet reported in the literature. Moreover, we showed that the equation possess conservation laws (Cls).
Highlights
The study of dynamical systems in non-linear physical models plays an important role in optical fibers, electrical transmission lines, plasma physics, mathematical biology, and many more [1]
Seeking the exact solutions of non-linear evolution equations has been an interesting topic in mathematical physics, and the solutions of corresponding models are the ways to well describe their dynamics
Biswas and Arshed [3] put forward a new model for soliton transmission in optical fibers in the event when self-phase modulation is neglible in the absence of non-linearity
Summary
The study of dynamical systems in non-linear physical models plays an important role in optical fibers, electrical transmission lines, plasma physics, mathematical biology, and many more [1]. This is motivated by the capacity to model the behavior of these systems and other under different physical conditions [2]. Biswas and Arshed [3] put forward a new model for soliton transmission in optical fibers in the event when self-phase modulation is neglible in the absence of non-linearity. To the best of our knowledge, the dark-bright optical soliton and Cls of the equation have not been reported. The Cls of the equation will be derived using the multiplier method [8, 9]
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