We report the existence of chirped bright and dark solitons for higher order nonlinear Schrodinger equation in the presence of localized dissipation. The parameter domains are delineated in which these solitons exist....We report the existence of chirped bright and dark solitons for higher order nonlinear Schrodinger equation in the presence of localized dissipation. The parameter domains are delineated in which these solitons exist. It is found that the chirp associated with each of the soliton pulses is directly proportional to intensity and gets saturated at some finite value as the retarded time approaches its asymptotic value. We further show that the higher order nonlinearities in the system such as self-steepening and self-frequency shift do not influence the amplitude of the soliton pulses significantly but primarily control the strength of the localized dissipation.展开更多
The present paper aims to investigate the chirped optical soliton solutions of the nonlinear Schrödinger equation with nonlinear chromatic dispersion and quadratic-cubic law of refractive index.The exquisite bala...The present paper aims to investigate the chirped optical soliton solutions of the nonlinear Schrödinger equation with nonlinear chromatic dispersion and quadratic-cubic law of refractive index.The exquisite balance between the chromatic dispersion and the nonlinearity associated with the refractive index of a fiber gives rise to optical solitons,which can travel down the fiber for intercontinental distances.The effective technique,namely,the new extended auxiliary equation method is implemented as a solution method.Different types of chirped soliton solutions including dark,bright,singular and periodic soliton solutions are extracted from the Jacobi elliptic function solutions when the modulus of the Jacobi elliptic function approaches to one or zero.These obtained chirped optical soliton solutions might play an important role in optical communication links and optical signal processing systems.The stability of the system is examined in the framework of modulational instability analysis.展开更多
This paper studies chirped optical solitons in nonlinear optical fibers.However,we obtain diverse soliton solutions and new chirped bright and dark solitons,trigonometric function solutions and rational solutions by a...This paper studies chirped optical solitons in nonlinear optical fibers.However,we obtain diverse soliton solutions and new chirped bright and dark solitons,trigonometric function solutions and rational solutions by adopting two formal integration methods.The obtained results take into account the different conditions set on the parameters of the nonlinear ordinary differential equation of the new extended direct algebraic equation method.These results are more general compared to Hadi et al(2018 Optik 172545–53)and Yakada et al(2019 Optik197163108).展开更多
文摘We report the existence of chirped bright and dark solitons for higher order nonlinear Schrodinger equation in the presence of localized dissipation. The parameter domains are delineated in which these solitons exist. It is found that the chirp associated with each of the soliton pulses is directly proportional to intensity and gets saturated at some finite value as the retarded time approaches its asymptotic value. We further show that the higher order nonlinearities in the system such as self-steepening and self-frequency shift do not influence the amplitude of the soliton pulses significantly but primarily control the strength of the localized dissipation.
文摘The present paper aims to investigate the chirped optical soliton solutions of the nonlinear Schrödinger equation with nonlinear chromatic dispersion and quadratic-cubic law of refractive index.The exquisite balance between the chromatic dispersion and the nonlinearity associated with the refractive index of a fiber gives rise to optical solitons,which can travel down the fiber for intercontinental distances.The effective technique,namely,the new extended auxiliary equation method is implemented as a solution method.Different types of chirped soliton solutions including dark,bright,singular and periodic soliton solutions are extracted from the Jacobi elliptic function solutions when the modulus of the Jacobi elliptic function approaches to one or zero.These obtained chirped optical soliton solutions might play an important role in optical communication links and optical signal processing systems.The stability of the system is examined in the framework of modulational instability analysis.
文摘This paper studies chirped optical solitons in nonlinear optical fibers.However,we obtain diverse soliton solutions and new chirped bright and dark solitons,trigonometric function solutions and rational solutions by adopting two formal integration methods.The obtained results take into account the different conditions set on the parameters of the nonlinear ordinary differential equation of the new extended direct algebraic equation method.These results are more general compared to Hadi et al(2018 Optik 172545–53)and Yakada et al(2019 Optik197163108).
