Dark–bright semi-rational solitons and breathers for a higher-order coupled nonlinear Schrödinger system in an optical fiber

Du, Zhong; Tian, Bo; Chai, Han-Peng; Zhao, Xue-Hui

doi:10.1016/j.aml.2019.106110

Cited by 52 publications

(11 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Plugging (5) into (3) and with the aid of Maple, some of a class of explicit solutions can be obtained as follows…”

Section: Lump Solitons For (3 + 1)-dimensional Burgers-like Equationmentioning

confidence: 99%

See 1 more Smart Citation

Studying Lump solutions, Rogue wave solutions and dynamical interaction for new model generating from lax pair

Elboree

2020

Math. Model. Nat. Phenom.

View full text Add to dashboard Cite

In this paper, we consider the (3 + 1)-dimensional Burgers-like equation which arises in fluid mechanics, which constructed from Lax pair generating technique. The bilinear form for this model is obtained to construct the multiple-kink solutions. Lump solution, rogue wave solutions are constructed via the obtained bilinear form for this model. The physical phenomena for these solution are analyzed by studying the influence of the parameters for these solutions. The phase shifts, propagation directions and amplitudes for these solutions are controlled via these parameters. .The collisions between the lump wave and the stripe soliton, which is called lumpo solution are completely nonelastic interaction. Finally, the figures of the solutions are shown to study the dynamical behavior for the lump, rogue wave and the properties of the interaction phenomena under various parameters for (3 + 1)-dimensional Burgers-like equation. These results can't be found in the previous scientific papers.

show abstract

“…Plugging (5) into (3) and with the aid of Maple, some of a class of explicit solutions can be obtained as follows…”

Section: Lump Solitons For (3 + 1)-dimensional Burgers-like Equationmentioning

confidence: 99%

“…Soliton solutions for nonlinear partial differential equations (NLPDEs) are an important great significance in nonlinear science such as rational solutions [2,3]. Also solitons can be generated via Lie group analysis [4].…”

Section: Introductionmentioning

confidence: 99%

Studying Lump solutions, Rogue wave solutions and dynamical interaction for new model generating from lax pair

Elboree

2020

Math. Model. Nat. Phenom.

View full text Add to dashboard Cite

show abstract

“…In recent years, as an important part of solitons, optical soliton has been considered as an ideal carrier for information transmission in optical signal processing and optical communication systems thanks to its special stable transmission properties, which has aroused the great interest of relevant scholars [11][12][13][14][15][16][17][18]. The propagation characteristics of the optical soliton in an ideal optical fiber are generally represented by the nonlinear schrödinger equation (NLSE) [19][20][21][22][23][24]. But the optical fiber in an actual optical communication system is accompanied by gain or loss, and at this time, the system needs to be modeled by the complex Ginzburg-Landau equation (CGLE) [25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Evolution of periodic wave and dromion-like structure solutions in the variable-coefficients coupled high-order complex Ginzburg-Landau system

Yan

Liu

Wang

et al. 2023

Preprint

View full text Add to dashboard Cite

In this paper, the propagation characteristics of an ultrashort pulse in the birefringent fiber expressed by the variable-coefficients coupled high-order complex Ginzburg-Landau (HCGL) equations are analyzed. Firstly, the one-soliton solution of the coupled HCGL equations is obtained by the asymmetric method. And this is the first time that the coupled Ginzburg-Landau (GL) equations are successfully solved by the asymmetric method, which further expands the scope of application of the asymmetric method. Then, the evolution process and dynamic characteristics of special types of solitons such as the periodic wave and dromion-like structure in the variable-coefficients coupled HCGL system are discussed by examples. Furthermore, the combination of traditional bright soliton and dromon-like structure is constructed for the first time. These works are expected to promote the research on multi-soliton solutions in HCGL systems, which is still an unsolved problem, and are likely to contribute some theoretical guidance to the optimization of Wavelength Division Multiplexing (WDM) systems and the preparation of special types of soliton pairs in fiber lasers, so as to promote the development of optical soliton research and elevate information transmission rate in optical communication systems.

show abstract

“…Phase shift control is a widely used method in various researches and experiments for soliton interactions. [36,37] In this paper, we use a high-order coupled NLS (CNLS) system to describe the transmission of three solitons in birefringent fibers, [38][39][40][41] iq 1,t + q 1,xx…”

Section: Introductionmentioning

confidence: 99%

“…[38] Breathers and dark-bright semi-rational soli-tons in high-order CNLS systems in optical fibers have been studied. [39] Akhmediev breather, Kuznetsov-Ma breather, and rogue-wave solutions for Eq. ( 1) have been obtained via the Darboux transformation.…”

Section: Introductionmentioning

confidence: 99%

Soliton fusion and fission for the high-order coupled nonlinear Schrödinger system in fiber lasers

2022

View full text Add to dashboard Cite

With the rapid development of communication technology, optical fiber communication has become a key research area in communications. When there are two signals in the optical fiber, the transmission of them can be abstracted as a high-order coupled nonlinear Schrödinger system. In this paper, by using the Hirota’s method, we construct the bilinear forms, and study the analytical solution of three solitons in the case of focusing interactions. In addition, by adjusting different wave numbers for phase control, we further discuss the influence of wave numbers on soliton transmissions. It is verified that wave numbers k 11, k 21, k 31, k 22, and k 32 can control the fusion and fission of solitons. The results are beneficial to the study of all-optical switches and fiber lasers in nonlinear optics.

show abstract

Dark–bright semi-rational solitons and breathers for a higher-order coupled nonlinear Schrödinger system in an optical fiber

Cited by 52 publications

References 36 publications

Studying Lump solutions, Rogue wave solutions and dynamical interaction for new model generating from lax pair

Studying Lump solutions, Rogue wave solutions and dynamical interaction for new model generating from lax pair

Evolution of periodic wave and dromion-like structure solutions in the variable-coefficients coupled high-order complex Ginzburg-Landau system

Soliton fusion and fission for the high-order coupled nonlinear Schrödinger system in fiber lasers

Contact Info

Product

Resources

About