Double Casoratian solutions to the nonlocal semi-discrete modified Korteweg-de Vries equation-Reference-Cited by-同舟云学术

Double Casoratian solutions to the nonlocal semi-discrete modified Korteweg-de Vries equation

Published:2020-02-03 Issue:05 Volume:34 Page:2050021
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

Feng Wei¹,Zhao Song-Lin¹^ORCID,Sun Ying-Ying²

Affiliation:

1. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, P. R. China

2. Department of Mathematics, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China

Abstract

Two nonlocal versions of the semi-discrete modified Korteweg-de Vries equation are derived by different nonlocal reductions from a coupled equation set in the Ablowitz–Ladik hierarchy. Different kinds of exact solutions in terms of double Casoratians to the reduced equations are obtained by imposing constraint conditions on the double Casorati determinant solutions of the coupled equation set. Dynamics of the soliton solutions for the real and complex nonlocal semi-discrete modified Korteweg-de Vries equations are analyzed and illustrated by asymptotic analysis.

Funder

Natural Science Foundation of Zhejiang Province

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979220500216

Reference32 articles.

1. Integrable Nonlocal Nonlinear Schrödinger Equation

2. Integrable Nonlocal Nonlinear Equations