Analytical treatment in optical metamaterials with anti-cubic law of nonlinearity by improved exp(-Ω(η))-expansion method and extended sinh-Gordon equation expansion method



Document title: Analytical treatment in optical metamaterials with anti-cubic law of nonlinearity by improved exp(-Ω(η))-expansion method and extended sinh-Gordon equation expansion method
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000438968
ISSN: 0035-001X
Authors: 1
2
Institutions: 1Erciyes University, Faculty of Education, Melikgazi. Turquía
2University of Tabriz, Faculty of Mathematical Sciences, Tabriz. Irán
Year:
Season: Nov-Dic
Volumen: 65
Number: 6
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract Here, the improved exp(-Ω(η))-expansion method and extended sinh-Gordon equation expansion method are being applied on (1+2)-dimensional non-linear Schrödinger equation (NLSE), optical metamaterials, with anti-cubic nonlinearity. Materials like photovoltaic-photorefractive, polymer and organic consists of spatial solitons and optical nonlinearities, which can be identified by seeking help from NLSE with anti-cubic nonlinearity. Abundant exact traveling wave solutions consisting of free parameters are established in terms of bright, dark, singular, kink-singular, and combined dark-bright soliton solutions. Various arbitrary constants obtained in the solutions help us to discuss the graphical behavior of solutions and also grants flexibility to formulate solutions that can be linked with a large variety of physical phenomena. Moreover, graphical representation of solutions are shown vigorously in order to visualize the behavior of the solutions acquired for the equation
Disciplines: Física y astronomía
Keyword: Física,
Solitones,
Metamateriales,
No linealidad anti-cúbica,
Método de expansión Exp (-Ω (η)) mejorado,
Método extendido de expansión de la ecuación de Sinh-Gordon
Keyword: Physics,
Solitons,
Metamaterials,
Anti-cubic nonlinearity,
Improved exp(-Ω(η))-expansion method,
Extended sinh-Gordon equation expansion method
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