Nondegenerate Kuznetsov-Ma solitons of Manakov equations and their physical spectra

Wen Juan Che; Shao Chun Chen; Chong Liu; Li Chen Zhao; Nail Akhmediev

doi:10.1103/PhysRevA.105.043526

Nondegenerate Kuznetsov-Ma solitons of Manakov equations and their physical spectra

Wen Juan Che, Shao Chun Chen, Chong Liu, Li Chen Zhao, Nail Akhmediev

Research output: Contribution to journal › Article › peer-review

35 Citations (Scopus)

Abstract

We study the dynamics of Kuznetsov-Ma solitons (KMSs) in the framework of vector nonlinear Schrödinger (Manakov) equations. An exact multiparameter family of solutions for such KMSs is derived. This family of solutions includes the known results as well as the previously unknown solutions in the form of nondegenerate KMSs. We present the existence diagram of such KMSs that follows from the exact solutions. These nondegenerate KMSs are formed by nonlinear superposition of two fundamental KMSs that have the same propagation period but different eigenvalues. We present the amplitude profiles of solutions, their exact physical spectra, and their link to ordinary vector solitons and offer easy ways for their excitation using numerical simulations.

Original language	English
Article number	043526
Journal	Physical Review A
Volume	105
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevA.105.043526
Publication status	Published - Apr 2022

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10.1103/PhysRevA.105.043526

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title = "Nondegenerate Kuznetsov-Ma solitons of Manakov equations and their physical spectra",

abstract = "We study the dynamics of Kuznetsov-Ma solitons (KMSs) in the framework of vector nonlinear Schr{\"o}dinger (Manakov) equations. An exact multiparameter family of solutions for such KMSs is derived. This family of solutions includes the known results as well as the previously unknown solutions in the form of nondegenerate KMSs. We present the existence diagram of such KMSs that follows from the exact solutions. These nondegenerate KMSs are formed by nonlinear superposition of two fundamental KMSs that have the same propagation period but different eigenvalues. We present the amplitude profiles of solutions, their exact physical spectra, and their link to ordinary vector solitons and offer easy ways for their excitation using numerical simulations.",

author = "Che, {Wen Juan} and Chen, {Shao Chun} and Chong Liu and Zhao, {Li Chen} and Nail Akhmediev",

note = "Publisher Copyright: {\textcopyright} 2022 American Physical Society.",

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AU - Che, Wen Juan

AU - Chen, Shao Chun

AU - Liu, Chong

AU - Zhao, Li Chen

AU - Akhmediev, Nail

PY - 2022/4

Y1 - 2022/4

N2 - We study the dynamics of Kuznetsov-Ma solitons (KMSs) in the framework of vector nonlinear Schrödinger (Manakov) equations. An exact multiparameter family of solutions for such KMSs is derived. This family of solutions includes the known results as well as the previously unknown solutions in the form of nondegenerate KMSs. We present the existence diagram of such KMSs that follows from the exact solutions. These nondegenerate KMSs are formed by nonlinear superposition of two fundamental KMSs that have the same propagation period but different eigenvalues. We present the amplitude profiles of solutions, their exact physical spectra, and their link to ordinary vector solitons and offer easy ways for their excitation using numerical simulations.

AB - We study the dynamics of Kuznetsov-Ma solitons (KMSs) in the framework of vector nonlinear Schrödinger (Manakov) equations. An exact multiparameter family of solutions for such KMSs is derived. This family of solutions includes the known results as well as the previously unknown solutions in the form of nondegenerate KMSs. We present the existence diagram of such KMSs that follows from the exact solutions. These nondegenerate KMSs are formed by nonlinear superposition of two fundamental KMSs that have the same propagation period but different eigenvalues. We present the amplitude profiles of solutions, their exact physical spectra, and their link to ordinary vector solitons and offer easy ways for their excitation using numerical simulations.

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VL - 105

JO - Physical Review A

JF - Physical Review A

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ER -

Nondegenerate Kuznetsov-Ma solitons of Manakov equations and their physical spectra

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