Elliptic function soliton solutions of the higher-order nonlinear dispersive Kundu–Eckhaus dynamical equation with applications and stability
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DOI: 10.1007/s12648-019-01629-x
Abstract: In this paper, we employ the four mathematical methods, namely improved simple equation method (SEM), modified extended SEM, generalized exp $$(-\Phi (\xi ))$$ ( - Φ ( ξ ) ) -expansion technique and modified extended… read more here.
Keywords: kundu eckhaus; soliton; elliptic function; function ... See more keywords
Optical solitons for the Kundu–Eckhaus equation with time dependent coefficient
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DOI: 10.1016/j.ijleo.2018.01.084
Abstract: Abstract The first integral method (FIM) is applied to get the different type optical solitons of Kundu–Eckhaus equation (KE). A class of optical solitons of this equation is presented, and some of which are acquired… read more here.
Keywords: kundu eckhaus; eckhaus equation; optical solitons; time ... See more keywords
Dark and singular optical solitons in birefringent fibers with Kundu–Eckhaus equation by undetermined coefficients
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DOI: 10.1016/j.ijleo.2018.12.080
Abstract: Abstract This paper retrieves dark and singular optical solitons in birefringent fibers that is modeled by Kundu–Eckhaus equation. The most fundamental principle of undetermined coefficients is the extraction algorithm applied to the model. These solitons… read more here.
Keywords: kundu eckhaus; singular optical; birefringent fibers; optical solitons ... See more keywords
Optical solitons to Kundu–Eckhaus equation in birefringent fibers without four-wave mixing
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DOI: 10.1016/j.ijleo.2019.163297
Abstract: Abstract This paper investigates the soliton solutions of Kundu–Eckhaus equation for birefringent fibers, by employing two resourceful integration techniques, which are extended (G′/G)-expansion method and extended direct algebraic method. Variety of exact traveling wave solutions… read more here.
Keywords: equation birefringent; eckhaus equation; kundu eckhaus; birefringent fibers ... See more keywords
Analysis of solitary wave solutions in the fractional-order Kundu–Eckhaus system
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DOI: 10.1038/s41598-024-53330-7
Abstract: The area of fractional partial differential equations has recently become prominent for its ability to accurately simulate complex physical events. The search for traveling wave solutions for fractional partial differential equations is a difficult task,… read more here.
Keywords: solutions fractional; wave solutions; kundu eckhaus; fractional partial ... See more keywords
Dynamical and sensitivity analysis for fractional Kundu–Eckhaus system to produce solitary wave solutions via new mapping approach
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DOI: 10.1080/25765299.2024.2375667
Abstract: Abstract The fractional Kundu–Eckhaus (FKE) equation, a nonlinear mathematical model, holds significance in assessing optical fibre communication systems. It takes into account various factors, including dispersion, noise and nonlinearity, which can impact the quality of… read more here.
Keywords: soliton; mapping approach; fractional kundu; kundu eckhaus ... See more keywords
Modeling and Exploration of Localized Wave Phenomena in Optical Fibers Using the Generalized Kundu-Eckhaus Equation for Femtosecond Pulse Transmission
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DOI: 10.3390/axioms14070513
Abstract: This manuscript aims to explore localized waves for the nonlinear partial differential equation referred to as the (1+1)-dimensional generalized Kundu–Eckhaus equation with an additional dispersion term that describes the propagation of the ultra-short femtosecond pulses… read more here.
Keywords: equation; eckhaus equation; kundu eckhaus; generalized kundu ... See more keywords