Rogue-wave solutions for a discrete Ablowitz–Ladik equation with variable coefficients for an electrical lattice

Wu, Xiao-Yu; Tian, Bo; Yin, Hui-Min; Du, Zhong

doi:10.1007/s11071-018-4281-3

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2019

2024

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Cited by 22 publications

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“…Several methods were introduced for obtaining exact solutions of NLEEs. [33−54] Especially, the solutions of the electrical lattice equations is studied by several groups, where Eilbeck introduced some numerical solutions, [55] generalized discrete Lange-Newell criterion, [56] roguewave solutions, [57] Kudryashov method and the G ′ /Gexpansion methods. [58] Moreover, some solutions of electrical lattice with nonlinear dispersion are presented as in Ref.…”

Section: Introductionmentioning

confidence: 99%

New Optical Soliton Solutions of Nolinear Evolution Equation Describing Nonlinear Dispersion

Owyed

Abdou

Abdel‐Aty

et al. 2019

Commun. Theor. Phys.

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In this work, we examine two algorithm schemes, namely, Kudryashov expansion and Auxiliary equation method for obtaining new optical soliton solutions of the discrete electrical lattice models in nonlinear scheme (Salerno equation). Our solutions obtained here are include the hyperbolic, rational, and trigonometric functions. Our two used methods are proved to be effective and powerful methods in obtaining the exact solutions of nonlinear evolution equations (NLEEs).

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Section: Introductionmentioning

confidence: 99%