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New physical structures and patterns to the optical solutions of the nonlinear Schrödinger equation with a higher dimension

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Communications in Theoretical Physics 2023年第8期75卷 25-41页

作者： Karmina K Ali Abdullahi Yusuf Marwan Alquran sibel tarla Department of Mathematics Faculty of ScienceUniversity of ZakhoZakhoIraq Department of Computer Science College of ScienceKnowledge UniversityErbil 44001Iraq Department of Computer Engineering Biruni UniversityIstanbulTurkey Department of Computer Science and Mathematics Lebanese American UniversityBeirutLebanon Department of Mathematics Near East University TRNCMersin 10Nicosia 99138Turkey Department of Mathematics and Statistics Jordan University of Science&TechnologyIrbid 22110Jordan Department of Mathematics Faculty of ScienceFirat UniversityElazigTurkey

It is commonly recognized that,despite current analytical approaches,many physical aspects of nonlinear models remain *** is critical to build more efficient integration methods to design and construct numerous other unknown solutions and physical attributes for the nonlinear models,as well as for the benefit of the largest audience *** achieve this goal,we propose a new extended unified auxiliary equation technique,a brand-new analytical method for solving nonlinear partial differential *** proposed method is applied to the nonlinear Schrödinger equation with a higher dimension in the anomalous *** interesting solutions have been ***,to shed more light on the features of the obtained solutions,the figures for some obtained solutions are *** propagation characteristics of the generated solutions are *** results show that the proper physical quantities and nonlinear wave qualities are connected to the parameter *** is worth noting that the new method is very effective and efficient,and it may be applied in the realisation of novel solutions.

关键词： exact solutions nonlinear Schrodinger equation new extended unified auxiliary equation method Jacobi elliptic functions

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On dynamical behavior for optical solitons sustained by the perturbed Chen–Lee–Liu model

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Communications in Theoretical Physics 2022年第7期74卷 41-48页

作者： sibel tarla Karmina K Ali Resat Yilmazer M S Osman Department of Mathematics Faculty of ScienceFirat UniversityElazigTurkey Department of Mathematics Faculty of ScienceUniversity of ZakhoZakhoIraq Department of Mathematics Faculty of ScienceCairo UniversityGiza 12613Egypt

This study investigates the perturbed Chen–Lee–Liu model that represents the propagation of an optical pulse in plasma and optical *** generalized exponential rational function method is used for this *** a result,we obtain some non-trivial solutions such as the optical singular,periodic,hyperbolic,exponential,trigonometric soliton *** aim to express the pulse propagation of the generated solutions,by taking specific values for the free parameters existed in the obtained *** obtained results show that the generalized exponential rational function technique is applicable,simple and effective to get the solutions of nonlinear engineering and physical ***,the acquired solutions display rich dynamical evolutions that are important in practical applications.

关键词： perturbed Chen-Lee-Liu model generalized exponential rational function method analytical solutions

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