Soliton solutions to the coupled Sasa-Satsuma equation under mixed boundary conditions

2026/03/09 by Changyan Shi, Xiyao Chen, Guangxiong Zhang +2 · 1 voice · 1 citation
Physics and Astronomy · #nlin.SI #math-ph

paper · pdf

Abstract

In this paper, we derive general bright-dark soliton solutions to the coupled Sasa-Satsuma (CSS) equation using the Kadomtsev-Petviashvili (KP) reduction method. Since the CSS equation is a special case of the four-component Hirota equation, our approach begins with the construction of two-bright-two-dark soliton solutions for the four-component Hirota equation. By imposing specific parameter constraints, these solutions are subsequently reduced to the bright-dark soliton solutions of the CSS equation. Finally, the dynamical behaviors of the one- and two-bright-dark soliton solutions are thoroughly analyzed and illustrated.

Citations

• General soliton solutions to the coupled Hirota equation via the Kadomtsev-Petviashvili reduction
• Dark Soliton and Breather Solutions to the Coupled Sasa–Satsuma Equation
• Vector breathers in the Manakov system
• General rogue wave solutions to the Sasa-Satsuma equation
• Anti-dark and Mexican-hat solitons in the Sasa-Satsuma equation on the continuous wave background
• Novel Localized Waves in a Two-mode Nonlinear Fiber with High-order Effects
• General N‐Dark–Dark Solitons in the Coupled Nonlinear Schrödinger Equations
• Bright-dark solitons and their collisions in mixed N-coupled nonlinear Schrödinger equations
• The Sasa-Satsuma higher order nonlinear Schrodinger equation and its bilinearization and multi-soliton solutions
• Exact soliton solutions of coupled nonlinear Schrödinger equations: Shape changing collisions, logic gates and partially coherent solitons
• Theory of Bose-Einstein condensation in trapped gases
• Nonlinear pulse propagation in a monomode dielectric guide
• Solitons and Infinite Dimensional Lie Algebras
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion
• Integrals of nonlinear equations of evolution and solitary waves
• Method for Solving the Korteweg-deVries Equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

Cited by

• Soliton solutions to the coupled Sasa-Satsuma-mKdV equation

Discussions

• Changyan Shi, Xiyao Chen, Guangxiong Zhang, Chengfa Wu, Bao-Feng Feng: Soliton solutions to the coupled Sasa-Satsuma equation under mixed boundary conditions https://arxiv.org/abs/2603.08686 https://a [bsky, 0 points, 0 comments]

Related

• General soliton solutions to the coupled Hirota equation via the Kadomtsev-Petviashvili reduction
• Soliton solutions to the coupled Sasa-Satsuma-mKdV equation
• Bright-dark soliton solutions to the multi-component AB system
• Bright-dark vector soliton solutions for the coupled complex short pulse equations in nonlinear optics
• N-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation