Darboux transformation, generalized Darboux transformation and vector breather solutions for a coupled variable-coefficient cubic-quintic nonlinear Schrödinger system in a non-Kerr medium, twin-core nonlinear optical fiber or waveguide

Generalized Darboux Transformation ◽

In an inhomogeneous multicomponent optical fiber: Lax pair, generalized Darboux transformation and vector breathers for a three-coupled variable-coefficient nonlinear Schrödinger system

The European Physical Journal Plus ◽

10.1140/epjp/s13360-021-01918-7 ◽

2021 ◽

Vol 136 (10) ◽

Author(s):

Meng Wang ◽

Bo Tian

Keyword(s):

Optical Fiber ◽

Darboux Transformation ◽

Variable Coefficient ◽

Lax Pair ◽

Nonlinear Schrödinger ◽

Generalized Darboux Transformation ◽

Darboux-dressing transformation, semi-rational solutions, breathers and modulation instability for the cubic-quintic nonlinear Schrödinger system with variable coefficients in a non-Kerr medium, twin-core nonlinear optical fiber or waveguide

Physica Scripta ◽

10.1088/1402-4896/abbd6d ◽

2020 ◽

Author(s):

Dan-Yu Yang ◽

Bo Tian ◽

Qi-Xing Qu ◽

He Li ◽

Xue-Hui Zhao ◽

...

Keyword(s):

Optical Fiber ◽

Nonlinear Optical ◽

Modulation Instability ◽

Variable Coefficients ◽

Kerr Medium ◽

Rational Solutions ◽

Nonlinear Schrödinger ◽

Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106936 ◽

2020 ◽

pp. 106936

Author(s):

Meng Wang ◽

Bo Tian ◽

Cong-Cong Hu ◽

Shao-Hua Liu

Keyword(s):

Optical Fiber ◽

Darboux Transformation ◽

Fourth Order ◽

Bound States ◽

Nonlinear Schrödinger ◽

Generalized Darboux Transformation ◽

Birefringent Optical Fiber ◽

Soliton interactions for a generalized variable-coefficient coupled higher-order nonlinear Schrödinger system in an inhomogeneous optical fiber

Laser Physics ◽

10.1088/1555-6611/aa6be7 ◽

2017 ◽

Vol 27 (7) ◽

pp. 075402 ◽

Cited By ~ 3

Author(s):

Lei Liu ◽

Bo Tian ◽

Jun Chai ◽

Han-Peng Chai

Keyword(s):

Optical Fiber ◽

Variable Coefficient ◽

Higher Order ◽

Soliton Interactions ◽

Nonlinear Schrödinger ◽

Darboux transformation and vector solitons for a variable-coefficient coherently coupled nonlinear Schrödinger system in nonlinear optics

Optical Engineering ◽

10.1117/1.oe.55.11.116113 ◽

2016 ◽

Vol 55 (11) ◽

pp. 116113 ◽

Cited By ~ 2

Author(s):

Jun Chai ◽

Bo Tian ◽

Han-Peng Chai

Keyword(s):

Nonlinear Optics ◽

Darboux Transformation ◽

Variable Coefficient ◽

Nonlinear Schrödinger ◽

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

Vector solitons for the (2 + 1)‐dimensional coupled nonlinear Schrödinger system in the Kerr nonlinear optical fiber

10.1002/zamm.202000232 ◽

2021 ◽

Author(s):

Yan Sun ◽

Bo Tian ◽

Qi‐Xing Qu ◽

Han‐Peng Chai ◽

Yu‐Qiang Yuan ◽

...

Keyword(s):

Optical Fiber ◽

Nonlinear Optical ◽

Nonlinear Schrödinger ◽

Breathers, multi-peak solitons, breather-to-soliton transitions and modulation instability of the variable-coefficient fourth-order nonlinear Schrödinger system for an inhomogeneous optical fiber

Chinese Journal of Physics ◽

10.1016/j.cjph.2019.09.021 ◽

2019 ◽

Vol 62 ◽

pp. 274-283 ◽

Cited By ~ 6

Author(s):

Su-Su Chen ◽

Bo Tian ◽

Lei Liu ◽

Yu-Qiang Yuan ◽

Xia-Xia Du

Keyword(s):

Optical Fiber ◽

Fourth Order ◽

Variable Coefficient ◽

Modulation Instability ◽

Nonlinear Schrödinger ◽

Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2021.106097 ◽

2021 ◽

pp. 106097

Author(s):

He-Yuan Tian ◽

Bo Tian ◽

Yan Sun ◽

Chen-Rong Zhang

Keyword(s):

Optical Fiber ◽

Darboux Transformation ◽

Projection Matrix ◽

Multimode Optical Fiber ◽

Nonlinear Schrödinger ◽

Dark-dark solitons for a coupled variable-coefficient higher-order nonlinear Schrödinger system in an inhomogeneous optical fiber

Superlattices and Microstructures ◽

10.1016/j.spmi.2017.08.053 ◽

2017 ◽

Vol 112 ◽

pp. 20-29 ◽

Cited By ~ 4

Author(s):

Ming-Zhen Li ◽

Bo Tian ◽

Qi-Xing Qu ◽

Han-Peng Chai ◽

Lei Liu ◽

...

Keyword(s):

Optical Fiber ◽

Variable Coefficient ◽

Higher Order ◽

Nonlinear Schrödinger ◽

Dark Solitons ◽

Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107161 ◽

2021 ◽

pp. 107161

Author(s):

Xin-Yi Gao ◽

Yong-Jiang Guo ◽

Wen-Rui Shan

Keyword(s):

Optical Fiber ◽

Variable Coefficient ◽

Optical Waves ◽

Nonlinear Schrödinger ◽