Analytical soliton solutions and modulation instability for a generalized (3+ 1)-dimensional coupled variable-coefficient nonlinear Schrödinger equations in nonlinear …
Modern Physics Letters B, 2021•World Scientific
In this work, the soliton solutions of a (3+ 1)-dimensional coupled nonlinear Schrödinger
system with time-dependent coefficients arising in optical fiber has been studied analytically.
A complex traveling wave ansatz is used to transform the proposed coupled partial
differential equations into ordinary differential equations (ODEs). Then, we solved the
obtained nonlinear ODEs for the envelope function in the traveling wave parameter. The
obtained waves envelope have the forms of bright and dark soliton-like solutions which are …
system with time-dependent coefficients arising in optical fiber has been studied analytically.
A complex traveling wave ansatz is used to transform the proposed coupled partial
differential equations into ordinary differential equations (ODEs). Then, we solved the
obtained nonlinear ODEs for the envelope function in the traveling wave parameter. The
obtained waves envelope have the forms of bright and dark soliton-like solutions which are …
In this work, the soliton solutions of a (3 + 1)-dimensional coupled nonlinear Schrödinger system with time-dependent coefficients arising in optical fiber has been studied analytically. A complex traveling wave ansatz is used to transform the proposed coupled partial differential equations into ordinary differential equations (ODEs). Then, we solved the obtained nonlinear ODEs for the envelope function in the traveling wave parameter. The obtained waves envelope have the forms of bright and dark soliton-like solutions which are considered as new solutions of the studied system. As a kind of completing the analysis, the modulation instability is discussed based on the linear stability analysis.
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