Abstract
In this paper, we solve chiral nonlinear Schrodinger equation (CNSE) numerically. Two numerical methods are derived using the explicit Runge-Kutta method of order four and the linear multistep method (Predictor-Corrector method of fourth order). The resulting schemes of fourth order accuracy in spatial and temporal directions. The CNSE is non-integrable and has two kinds of soliton solutions: bright and dark soliton. The exact solutions and the conserved quantities of CNSE are used to display the efficiency and robustness of the numerical methods we derived. Interaction of two bright solitons for different parameters is also displayed.
Highlights
IntroductionThe chiral nonlinear Schrödinger equation (CNSE) [1] [2] we are going to study is given by i
The chiral nonlinear Schrödinger equation (CNSE) [1] [2] we are going to study is given by i ∂ψ ∂t + ∂2ψ ∂x2 iλ ψ ∗ ∂ψ ∂x −ψ ∗ ψ= 0, − ∞ < x < ∞ (1)
Application of the method of lines for solving the KdV-Burger equation, two methods are used to solve this equation MOL and the Adomian decomposition method the results reveal that, both methods are comparable [10]
Summary
The chiral nonlinear Schrödinger equation (CNSE) [1] [2] we are going to study is given by i. There are many theoretical and numerical studies in the literature about the Nonlinear Schrödinger Equations (NLS) Most of these works are motivated to single NLS and the coupled NLS (see [3] [4] [5] and reference therein). The method of lines for solution of the one-dimensional wave equation subject to an integral conservation condition presented in [9]. We are going to solve the chiral nonlinear Schrodinger equation using method of lines, which can be described in two major steps.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
