Capturing of solitons collisions and reflections in nonlinear Schrödinger type equations by a conservative scheme based on MOL

Advances in Difference Equations

Praveen Agarwal¹  Fahad Alsharari²  Mohamed M. Mousa³  Shaher Momani⁴ 

[1] Department of Mathematics, Anand International College of Engineering, 303012, Jaipur, India;Department of Mathematics, Harish-Chandra Research Institute, 211 019, Allahabad, India;International Center for Basic and Applied Sciences, 302029, Jaipur, India;Nonlinear Dynamics Research Center (NDRC), Ajman University, 346, Ajman, United Arab Emirates;Department of Mathematics, College of Sciences and Human Studies at Hotat Sudair, Majmaah University, 11952, Majmaah, Saudi Arabia;Department of Mathematics, College of Sciences and Human Studies at Hotat Sudair, Majmaah University, 11952, Majmaah, Saudi Arabia;Department of Basic Engineering Sciences, Faculty of Engineering at Benha, Benha University, 13512, Benha, Egypt;Nonlinear Dynamics Research Center (NDRC), Ajman University, 346, Ajman, United Arab Emirates;Department of Mathematics, Faculty of Science, University of Jordan, 11942, Amman, Jordan;

关键词: Coupled nonlinear Schrödinger equation;    Nonlinear Schrödinger equation;    Method of lines;    Soliton collision;    Soliton reflection;    65M20;    35C08;    35Q55;    37K10;   

DOI  :  10.1186/s13662-021-03505-7

来源: Springer

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