Optical Soliton in Nonlocal Nonlinear Medium with Cubic-Quintic Nonlinearities and Spatio-Temporal Dispersion

Qin Zhoua, D. Kumarb, c, M. Mirzazadehd, M. Eslamie, H. Rezazadehf aSchool of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, P.R. China bGraduate School of Systems and Information Engineering, University of Tsukuba, Tennodai 1-1-1, Tsukuba, Ibaraki, Japan cDepartment of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj-8100, Bangladesh dDepartment of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran eDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran fFaculty of Modern Technologies Engineering, Amol University of Special Modern Technologies, Amol, Iran

Received: July 12, 2018

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In this article, we have constructed some new soliton solutions of the nonlocal nonlinear medium equation via three reliable approaches. The executed approaches are modified Kudryashov method, sinh-Gordon equation expansion method and extended sinh-Gordon equation expansion method. In this case, there are three types of competing nonlinearities that are taken into account in our model. They are nonlocal nonlinearity, cubic nonlinearity, and quintic nonlinearity. By means of the aforementioned methods, dark, bright, combined dark-bright, singular, combined singular, periodic, and other soliton solutions are obtained from the nonlocal nonlinear medium equation, and their respective existence conditions.

DOI:10.12693/APhysPolA.134.1204 topics: nonlocal nonlinearity, modified Kudryashov method, sine-Gordon equation expansion method, extended sinh-Gordon equation expansion method, soliton solutions\\vs*{+3pt}