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New optical soliton solutions of nolinear evolution equation describing nonlinear dispersion. (English) Zbl 1455.35046

Summary: In this work, we examine two algorithm schemes, namely, Kudryashov expansion and Auxiliary equation method for obtaining new optical soliton solutions of the discrete electrical lattice models in nonlinear scheme (Salerno equation). Our solutions obtained here are include the hyperbolic, rational, and trigonometric functions. Our two used methods are proved to be effective and powerful methods in obtaining the exact solutions of nonlinear evolution equations (NLEEs).

MSC:

35C08 Soliton solutions
35C05 Solutions to PDEs in closed form
35Q51 Soliton equations
35Q55 NLS equations (nonlinear Schrödinger equations)
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