Solitary wave solution, traveling wave solution and other solutions of variable-coefficients Chiral Schrödinger equation
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS（2024）
Abstract
This paper investigates different kinds of exact solutions of variable-coefficients Chiral Schrodinger equation (VCCNLSE). In this equation, the fractional quantum Hall effect edge states are described. By the unified method, we successfully get the soliton, solitary and elliptic wave solutions. Through the (G'/G)-expansion and the exponential expansion methods, we acquire different traveling wave solutions. Using the extended F-expansion method, we attain the Jacobi elliptic function solutions. So as to get more physical information about the exact solutions of VCCNLSE, 3D, 2D, density and contour maps are described.
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Key words
Chiral Schrodinger equation,the (G'/G)-expansion method,the unified method,the F-expansion method,the exponential expansion method
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