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相关论文: Multihumped nondegenerate fundamental bright solit…

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Nonlinear dynamics of an optical pulse or a beam continue to be one of the active areas of research in the field of optical solitons. Especially, in multi-mode fibers or fiber arrays and photorefractive materials, the vector solitons…

斑图形成与孤子 · 物理学 2021-06-29 S. Stalin , R. Ramakrishnan , M. Lakshmanan

In this paper, we report a more general class of nondegenerate soliton solutions, associated with two distinct wave numbers in different modes, for a certain class of physically important integrable two component nonlinear Schr\"{o}dinger…

可精确求解与可积系统 · 物理学 2019-12-10 S. Stalin , R. Ramakrishnan , M. Lakshmanan

We obtain explicit bright one- and two-soliton solutions of the integrable case of the coherently coupled nonlinear Schr{\"o}dinger equations by applying a non-standard form of the Hirota's direct method. We find that the system admits both…

斑图形成与孤子 · 物理学 2015-05-19 T. Kanna , M. Vijaya Jayanthi , M. Lakshmanan

Recently, we have shown that the Manakov equation can admit a more general class of nondegenerate vector solitons, which can undergo collision without any intensity redistribution in general among the modes, associated with distinct wave…

斑图形成与孤子 · 物理学 2020-10-28 R. Ramakrishnan , S. Stalin , M. Lakshmanan

We present the exact bright one-soliton and two-soliton solutions of the integrable three coupled nonlinear Schroedinger equations (3-CNLS) by using the Hirota method, and then obtain them for the general $N$-coupled nonlinear Schroedinger…

可精确求解与可积系统 · 物理学 2009-11-07 T. Kanna , M. Lakshmanan

Mixed type (bright-dark) soliton solutions of the integrable N-coupled nonlinear Schr{\"o}dinger (CNLS) equations with mixed signs of focusing and defocusing type nonlinearity coefficients are obtained by using Hirota's bilinearization…

可精确求解与可积系统 · 物理学 2015-05-13 M. Vijayajayanthi , T. Kanna , M. Lakshmanan

In this paper, we investigate the role of four-wave mixing effect on the structure of nondegenerate vector solitons and their collision dynamics. For this purpose, we consider the generalized coupled nonlinear Schr\"odinger (GCNLS) system…

斑图形成与孤子 · 物理学 2024-03-01 R. Ramakrishnan , M. Kirane , S. Stalin , M. Lakshmanan

We consider the integrable multicomponent coherently coupled nonlinear Schr\"odinger (CCNLS) equations describing simultaneous propagation of multiple fields in Kerr type nonlinear media. The correct bilinear equations of $m$-CCNLS…

斑图形成与孤子 · 物理学 2011-07-26 T. Kanna , K. Sakkaravarthi

In this paper, we demonstrate the emergence of non-degenerate bright solitons and summarize their several interesting features in a completely integrable two-component long-wave-short-wave resonance interaction model with a general form of…

斑图形成与孤子 · 物理学 2025-08-26 S. Stalin , M. Lakshmanan

A novel kind of shape changing (intensity redistribution) collision with potential application to signal amplification is identified in the integrable $N$-coupled nonlinear Schr{\"o}dinger (CNLS) equations with mixed signs of focusing and…

可精确求解与可积系统 · 物理学 2007-05-23 T. Kanna , M. Lakshmanan , P. Tchofo Dinda , Nail Akhmediev

The soliton solution of the integrable coupled nonlinear Schrodinger equation (NLS) of Manakov type is investigated by using Zakharov-Shabat (ZS) scheme. We get the bright N-solitons solution by solving the integrable uncoupled NLS of…

高能物理 - 理论 · 物理学 2007-05-23 Freddy P. Zen , Hendry I. Elim

In this paper, we succeed to bilinearize the $\cal{PT}$-invariant nonlocal nonlinear Schr\"{o}dinger (NNLS) equation through a nonstandard procedure and present more general bright soliton solutions. We achieve this by bilinearizing both…

可精确求解与可积系统 · 物理学 2017-06-28 S. Stalin , M. Senthilvelan , M. Lakshmanan

In a previous paper (Matsuno 2011 {\it J. Phys. A: Math. Theore.} {\bf 44} 495202), we have presented a determinantal expression of the bright $N$-soliton solution for a multi-component modified nonlinear Schr\"odinger (NLS) system with…

可精确求解与可积系统 · 物理学 2019-04-04 Yoshimasa Matsuno

In this paper, we study the dynamics of an interesting class of vector solitons in the long wave-short wave resonance interaction (LSRI) system. The model that we consider here describes the nonlinear interaction of the long-wave and…

斑图形成与孤子 · 物理学 2022-04-20 S. Stalin , R. Ramakrishnan , M. Lakshmanan

The novel dynamical features underlying soliton interactions in coupled nonlinear Schr{\"o}dinger equations, which model multimode wave propagation under varied physical situations in nonlinear optics, are studied. In this paper, by…

可精确求解与可积系统 · 物理学 2015-06-26 T. Kanna , M. Lakshmanan

In this work, we examine the integrable mixed coupled nonlinear Schr\"odinger (mCNLS) system, which describe the propagation of an optical pulse in a birefringent optical fiber. By the Riemann-Hilbert(RH) approach, the N-soliton solutions…

偏微分方程分析 · 数学 2018-09-26 Fang Fang , Beibei Hu , Ling Zhang , Ning Zhang

We report that defocusing cubic media with spatially inhomogeneous nonlinearity, whose strength increases rapidly enough toward the periphery, can support stable bright localized modes. Such nonlinearity landscapes give rise to a variety of…

Spectral stability of multi-hump vector solitons in the Hamiltonian system of coupled nonlinear Schr\"{o}dinger (NLS) equations is investigated both analytically and numerically. Using the closure theorem for the negative index of the…

斑图形成与孤子 · 物理学 2007-05-23 Dmitry Pelinovsky , Jianke Yang

Our study on nondegenerate dark-bright-bright solitons in a three-component Manakov model with repulsive interactions reveals the existence of diverse branches of nondegenerate vector solitons. For fixed bright component particle numbers…

斑图形成与孤子 · 物理学 2025-12-09 Yu-Hao Wang , Liang Duan , Yan-Hong Qin , Li-Chen Zhao

By constructing the general six-parameter bright two-soliton solution of the integrable coupled nonlinear Schrodinger equation (Manakov model) using the Hirota method, we find that the solitons exhibit certain novel inelastic collision…

solv-int · 物理学 2009-10-30 R. Radhakrishnan , M. Lakshmanan , J. Hietarinta
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