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September 10, 2025

Soliton Interactions and Collision Dynamics in a Variable-Coeffcient Coupled Nonlocal Nonlinear Schrödinger Systems

Key Points

Soliton interactions demonstrate crucial collision dynamics, revealing various shapes and behaviors.
The study first yields two-soliton solutions, including V-shaped and exponential solitons under variable coefficients.
Investigations use the Hirota bilinear method to analyze how wave numbers alter collision distances and directions.
The findings establish a theoretical basis for manipulating optical fiber dynamics in nonlinear systems.

Abstract

Abstract The coupled nonlocal nonlinear Schrödinger equations(CNNLSEs) with variable coeffcients are researched by the nonstanded Hirota bilinear method. The two-solitons and double-hump one-soliton solutions for the equations are first obtained. By assigning different functions to the variable coeffcients, we obtain the V-shaped, Y-shaped, wave-type, exponential soliton, and so on. Next, reveal the influence of the real and imaginary parts of the wave numbers on the double-hump structure based on the soliton solutions. Finally, by setting different wave numbers, we can change the distance and transmission direction of the solitons to analyze the dynamic behavior of collisions. This study establishes a theoretical framework for controlling the dynamics of optical fiber in nonlocal nonlinear system.

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