Breather-to-soliton transition for a sixth-order nonlinear Schrödinger equation in an optical fiber

Abstract In this letter, breather-to-soliton transition is studied for an integrable sixth-order nonlinear Schrodinger equation in an optical fiber. Constraint for the breather-to-soliton transition is given. Breathers could be transformed into the different types of solitons, which are determined by the values of the real and imaginary parts of the eigenvalues in the Darboux transformation. Interactions of the breathers and breathers, of the breathers and solitons, as well as of the solitons and solitons, are graphically presented.

[1]  Yuri S. Kivshar,et al.  Dark optical solitons: physics and applications , 1998 .

[2]  Tao Xu,et al.  Darboux transformation and analytic solutions of the discrete PT-symmetric nonlocal nonlinear Schrödinger equation , 2016, Appl. Math. Lett..

[3]  Tao Xu,et al.  New Double Wronskian Solutions of the Whitham-Broer-Kaup System: Asymptotic Analysis and Resonant Soliton Interactions , 2017, Journal of Nonlinear Mathematical Physics.

[4]  Adrian Ankiewicz,et al.  Moving breathers and breather-to-soliton conversions for the Hirota equation , 2015, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[5]  Bo Tian,et al.  Solitons, bilinear Bäcklund transformations and conservation laws for a -dimensional Bogoyavlenskii-Kadontsev-Petviashili equation in a fluid, plasma or ferromagnetic thin film , 2017 .

[6]  Ken D. Sauer,et al.  A Model-Based Image Reconstruction Algorithm With Simultaneous Beam Hardening Correction for X-Ray CT , 2015, IEEE Transactions on Computational Imaging.

[7]  Z. Musslimani,et al.  Spectral transverse instabilities and soliton dynamics in the higher-order multidimensional nonlinear Schrödinger equation , 2015 .

[8]  Xin-Yi Gao,et al.  Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation , 2017, Appl. Math. Lett..

[9]  M. M. Rajan.  Dynamics of optical soliton in a tapered erbium-doped fiber under periodic distributed amplification system , 2016 .

[10]  P. S. Vinayagam,et al.  Bright soliton dynamics in spin orbit-Rabi coupled Bose-Einstein condensates , 2017, Commun. Nonlinear Sci. Numer. Simul..

[11]  Bo Tian,et al.  Certain bright soliton interactions of the Sasa-Satsuma equation in a monomode optical fiber. , 2017, Physical review. E.

[12]  Min Li,et al.  Dark and antidark soliton interactions in the nonlocal nonlinear Schrödinger equation with the self-induced parity-time-symmetric potential. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Meng Dexin,et al.  Rational Solitons in the Parity-Time-Symmetric Nonlocal Nonlinear Schrödinger Model , 2016 .

[14]  Wen-Rong Sun,et al.  Breather‐to‐soliton transitions and nonlinear wave interactions for the nonlinear Schrödinger equation with the sextic operators in optical fibers , 2017 .

[15]  Lei Wang,et al.  Breather-to-soliton transitions, nonlinear wave interactions, and modulational instability in a higher-order generalized nonlinear Schrödinger equation. , 2016, Physical review. E.

[16]  A Ankiewicz,et al.  Breather-to-soliton conversions described by the quintic equation of the nonlinear Schrödinger hierarchy. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  Anatoly Efimov,et al.  Soliton dynamics in optical fibers using the generalized traveling-wave method. , 2016, Physical review. E.

[18]  Bo Tian,et al.  Bright optical solitons or light bullets for a (3 + 1)-dimensional generalized nonlinear Schrödinger equation with the distributed coefficients , 2016 .

[19]  Bo Tian,et al.  Dynamic behaviors for a perturbed nonlinear Schrödinger equation with the power-law nonlinearity in a non-Kerr medium , 2017, Commun. Nonlinear Sci. Numer. Simul..

[20]  Bo Tian,et al.  Vector bright soliton behaviors of the coupled higher-order nonlinear Schrödinger system in the birefringent or two-mode fiber. , 2017, Chaos.