Analytical study of exact solutions of the nonlinear Korteweg–de Vries equation with space–time fractional derivatives

Author:

Liu Jiangen1,Zhang Yufeng1

Affiliation:

1. School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China

Abstract

This paper gives an analytical study of dynamic behavior of the exact solutions of nonlinear Korteweg–de Vries equation with space–time local fractional derivatives. By using the improved [Formula: see text]-expansion method, the explicit traveling wave solutions including periodic solutions, dark soliton solutions, soliton solutions and soliton-like solutions, are obtained for the first time. They can better help us further understand the physical phenomena and provide a strong basis. Meanwhile, some solutions are presented through 3D-graphs.

Funder

Fundamental Research Funds for the Central University

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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