A nonlinear evolutionary equation modelling a dockless bicycle-sharing system

Liu, Junrong; Wen-xu, MA; Duan, Qing

doi:10.1007/s12652-022-03700-8

Cited by 2 publications

(1 citation statement)

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“…Shi et al solved a class of nonlinear evolution equations using the Gudermannian function [5][6] . In addition to these, some scholars have proposed to solve the equations after transforming the equations using the Darboux transform, Bäcklund transform, 3D modeling, and Laplace transform [7][8][9][10][11][12][13][14][15][16] . In this paper, we will use the Jacobi elliptic function and discuss its expansion and applicable conditions to find the exact periodic solutions of more generalized nonlinear evolution equations.…”

Section: Introductionmentioning

confidence: 99%

Solving a Class of Nonlinear Evolution Equations Using Jacobi Elliptic Functions

Wang

Jin

2022

J. Phys.: Conf. Ser.

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Nonlinear evolution equations play a crucial role in many applied scientific disciplines. Finding the exact solutions to such equations can contribute to a wide variety of applied disciplines. To be able to calculate exact periodic solutions of nonlinear evolution equations, this paper discusses the expansion of the Jacobi elliptic function and finds the proper expansion of the function. Additionally, by analyzing the applicable conditions of the function according to its specific properties, we find the exact periodic solutions to nonlinear evolution equations with constant coefficients and variable coefficients that satisfy the applicable conditions of the Jacobi elliptic function.

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