New Optical Solitons of the Longitudinal Wave Equation in a Magnetoelectro-Elastic Circular Rod
K. Hosseini a, P. Mayeli b, E. Yazdani Bejarbaneh c and Qin Zhoud
aDepartment of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran
bYoung Researchers and Elite Club, Lahijan Branch, Islamic Azad University, Lahijan, Iran
cYoung Researchers and Elite Club, Qazvin Branch, Islamic Azad University, Qazvin, Iran
dSchool of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, PR China
Received: June 17, 2017; In final form: November 6, 2017
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This paper studies a nonlinear partial differential equation known as the nonlinear longitudinal wave equation which describes the propagation of optical solitons in a magnetoelectro-elastic circular rod. Mentioned task is performed by solving this nonlinear equation using the well-designed modified Kudryashov method, producing a series of new optical solitons. The capability of the modified Kudryashov method in handling the nonlinear longitudinal wave equation in a magnetoelectro-elastic circular rod is confirmed.

DOI: 10.12693/APhysPolA.133.20
Topics: nonlinear longitudinal wave equation, magneto-electro-elastic circular rod, modified Kudryashov method, new optical solitons