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