COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, vol.72, pp.493-515, 2019 (Journal Indexed in SCI)
Article / Article
Title of Journal :
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Ablowitz-Musslimani reduction, Nonlocal coupled Hirota-Iwao modified, Korteweg-de vries equations, Hirota bilinear form, Pfaffians, Soliton solutions, INVERSE SCATTERING TRANSFORM, NONLINEAR SCHRODINGER-EQUATION, DE-VRIES EQUATION, SOLITON-SOLUTIONS
We first study coupled Hirota-Iwao modified KdV (HI-mKdV) systems and give all possible local and nonlocal reductions of these systems. We then present Hirota bilinear forms of these systems and give one-soliton solutions of them with the help of pfaffians. By using the soliton solutions of the coupled HI-mKdV systems for N = 2, 3, and N = 4 we find one-soliton solutions of the local and nonlocal reduced equations. (C) 2019 Elsevier B.V. All rights reserved.