New exact traveling wave solutions to the (2+1)-dimensional Chiral nonlinear Schrödinger equation

Abstract

In this research work, we successfully construct various kinds of exact traveling wave solutions such as trigonometric like, singular and periodic wave solutions as well as hyperbolic solutions to the (2+1)-dimensional Chiral nonlinear Schröginger equation (CNLSE) which is used as a governing equation to discuss the wave in the quantum field theory. The mechanisms which are used to obtain these solutions are extended rational sine- cosine/sinh-cosh and the constraint conditions for the existence of valid solutions are also given. The attained results exhibit that the proposed techniques are the significant addition for exploring several types of nonlinear partial differential equations in applied sciences. Moreover, 3D and contour profiles are depicted for showing the physical behaviour of the reported solutions by setting suitable values of unknown parameters

A Mathematical Analysis of a Model Involving an Integrable Equation for Wave Packet Envelope

“…Leta et al applied the bifurcation technique to the (2 + 1)-dimensional Bogoyavlenskii coupled system [12]. Rezazadeh et al applied the extended rational sin-cos method to the chiral nonlinear Schrödinger equation [13].…”

A Study of Different Wave Structures of the $(2+1)$-dimensional Chiral Schrödinger Equation

“…The search for different wave structures of the (2 + 1)-dimensional chiral Schrödinger equation [1][2][3][4][5][6][7] iu t + c 1 u xx + u yy + i c 2 (uu * x − u * u x ) + c 3 uu * y − u * u y u = 0 (1.1)…”

“…Osman et al [6] found a group of exact solutions of the 2D-CS equation using the Fan sub-equation method. Rezazadeh et al [7] employed the extended rational sine-cosine/sinh-cosh methods to obtain traveling wave solutions of the 2D-CS equation. Very recently, Sulaiman and his colleagues [10] considered the 2D-CS equation with variable coefficients and obtained its complex wave solutions through a series of test functions.…”

Soliton and other solutions of the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation with conformable derivative

“…Also, very effective mathematical techniques have been developed and utilized for NLPDEs. Some of these techniques are the generalized Riccati equation mapping method [1,2] , the modified extended tanh expansion method combined with new Riccati solutions [3], the extended rational sine-cosine/sinh-cosh method [4,5],the modified extended tanh expansion method [6][7][8], the simplified bilinear method [9], the polynomial-function method [9,10], the Kudryashovexpansion method [9], the Riccati-Bernoulli sub-ODE technique [11,12], the Sardar-subequation method [13], the Jacobi elliptic function expansion method [14], the sine-Gordon expansion method [15], the sub-equation method [16,17], the q-homotopy analysis transform method [18], Hirotas bilinear structure [19], the Lie symmetry method [20], Haar wavelet method [21] and so on.…”