New travelling wave solutions for plasma model of extended K–dV equation

This paper studies optical solitons with M-truncated and beta derivatives (BD) for the Complex Ginzburg-Landau equation (CGLE) with Kerr Law nonlinearity. Two well-known integration schemes which are generalized tanh method (GTM) and generalized Bernoulli sub-ODE method (GBM) are utilized to extract such optical soliton solutions. For the successful existence of the solutions, the constraints conditions have been presented. The discussion for the physical features of the obtained solutions is reported.

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“…with µ a non-zero constant. Plugging Equation (36) together with Equation (35) in Equation (22), one attains…”

Section: Application For Gbmmentioning

confidence: 99%

Optical Solitons With M-Truncated and Beta Derivatives in Nonlinear Optics

Yusuf

Băleanu

2019

Front. Phys.

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“…A variety of powerful methods have been used to study the nonlinear evolution equations, for the analytic and numerical solutions. Some of these methods, the Riccati Equation method [1], Hirota's bilinear operators [2], exponential rational function method [3], the Jacobi elliptic function expansion [4], the homogeneous balance method [5], the tanh-function expansion [6], first integral method [7,8], the subequation method [9], the expfunction method [10], the Backlund transformation, and similarity reduction [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29], are used to obtain the exact solutions of NLPDE.…”

Section: Introductionmentioning

confidence: 99%

Solitary Wave Solutions to the Multidimensional Landau–Lifshitz Equation

Neirameh

2021

Advances in Mathematical Physics

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In this paper, we study the different types of new soliton solutions to the Landau–Lifshitz equation with the aid of the auxiliary equation method. Then, we get some special soliton solutions for this equation. Without the Gilbert damping term, we present a travelling wave solution with a finite energy in the initial time. The parameters of the soliton envelope are obtained as a function of the dependent model coefficients.

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