Chiral Solitons with Bohm Potential by Modified Simple Equation Method and Trial Equation Scheme
A. Biswasa, b, c, Y. Yildirimd, E. Yasard, Qin Zhoue, S.P. Moshokoac, M. Belicf
aDepartment of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-7500, USA
bDepartment of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia
cDepartment of Mathematics and Statistics, Tshwane University of Technology, Pretoria-0008, South Africa
dDepartment of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059 Bursa, Turkey
eSchool of Electronics and Information Engineering, Wuhan Donghu University, Wuhan-430212, People's Republic of China
fInstitute of Physics, Belgrade, Pregrevica 118, 11080 Zemun, Serbia
Received: January 10, 2018; in final form December 21, 2018
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In this paper we obtain soliton solutions to chiral nonlinear Schrödinger's equation with the Bohm potential by the modified simple equation method and trial equation method. Solitons and shock wave solutions are obtained. Additionally, singular periodic solutions are revealed as a by-product of these approaches and these are also listed. The existence criteria of these form of solutions are also presented.

DOI:10.12693/APhysPolA.134.1120
topics: solitons, Bohm potential, modified simple equation method, trial equation method