Some new exact solutions for derivative nonlinear Schrödinger equation with the quintic non-Kerr nonlinearity
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Recently, many researchers established various methods to construct optical solutions in the field of nonlinear optics because of optical solitons which shape the fundamental component to transport data from side to side of the earth for very wide distances. There are countless styles that effectively define this movement of soliton construction.1–30 In this paper, we investigate the derivative nonlinear Schr¨odinger’s equation (DNLSe) with the dimensionless shape9,10 to construct optical solitons including traveling wave solution (TWS) using the extended generalizing Riccati mapping (EGRM). The extended tanh function method is further improved by the EGRM and the constructed optical solitons. The attained solitons are represented in four families containing trigonometric functions, rational functions and hyperbolic functions. The method is presented together with the (G0/G)-expansion method and this process is an influential mathematical implement for solving NPDEs. Essentially, on in this method, the second-order linear ODE with constant coefficients is considered as an auxiliary equation. The auxiliary equation G0 (φ) = h + fG(φ) + gG2 (φ) is used, where f, g and h are arbitrary constants. The familiar Kaup–Newell’s equation refers to the mechanical functions of subpico second optical soliton movement.9,10 There are many studies for this model in several fields. Also, this model is named as first of the three forms of derivative NLSE. In Ref. 10, Triki and Biswas generalized the Kaup–Newell’s equation (KNe). They studied their conserved quantities and obtained sub-pico second bright, singular and dark optical solitons. The DNLSe with the dimensionless shape is presented by as9 iqt + aqxx + ib(|q| 2n q)x = 0 . (1.1) The function q(x, t) is a complex-valued-dependent variable that defines wave profile. In Eq. (1.1), the first notation is the process notation, the second notation gives dispersal group speed and the third notation refers to the dispersal nonKerr notation, for n > 2. For n = 1, Eq. (1.1) represents the KNe. For n = 2, the differential quintic non-Kerr nonlinearity notations express importance in extension of very short impulses of width around sub-10 fs in extremely nonlinear optical fibers.
SourceModern Physics Letters B
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