Results 21 to 30 of about 2,889,111 (209)
Elastic and inelastic interactions of periodic solutions for the 2+1-dimensional Ito equation
Results in Physics, 2022 In this paper, based on the bilinear form, we obtain 2-plane-soliton and 4-plane-soliton solutions for the 2+1-dimensional Ito equation. Particularly, both the elastic interactions and inelastic interactions of periodic waves are obtained.
Gu-Hao Lu, Ai-Hua Chen
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Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation
Advances in Mathematical Physics, 2021 By N-soliton solutions and a velocity resonance mechanism, soliton molecules are constructed for the KdV-Sawada-Kotera-Ramani (KSKR) equation, which is used to simulate the resonances of solitons in one-dimensional space.
Na Xiong, Ya-Xuan Yu, Biao Li
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Progress of Theoretical Physics, 1987 Several new nonlinear systems are given which are completely integrable. These systems can be considered as flows describing the self-interaction of single solitons in multisoliton fields. The construction of action variables, recursion operators, bi-hamiltonian formulation and the like is performed for these nonlinear systems.
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Multisoliton interactions for the Manakov system under composite external potentials; pp. 368–378 [PDF]
Proceedings of the Estonian Academy of Sciences, 2015 The soliton interactions of Manakov soliton trains subjected to composite external potentials are modelled by the perturbed complex Toda chain (PCTC). The model is applied to several classes of potentials, such as: (i) harmonic, (ii) periodic, (iii) â ...
Michail Todorov +2 more
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The interaction of solitons [PDF]
Science, 2017 Nonlinear Optics As light propagates through a medium such as a lens or window, scattering and dispersion processes usually result in the light diffusing. In a nonlinear medium, however, the dispersion processes can be balanced by nonlinearities to produce localized structures known as solitons, or optical bullets. Krupa et al.
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Soliton-soliton interaction in confining models [PDF]
Physics Letters B, 1979 Solitons in confining models of the Werle type are considered in one spatial dimension and the interaction between them is studied numerically in detail. In the collision process new localized objects are generated, which are pulsating in time. Evidence is given about their stability.
Simonov, Yu.A., Tjon, J.A.
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Ring solitons and soliton sacks in imbalanced fermionic systems
Physical Review Research, 2020 We show that in superfluids with fermionic imbalance and uniform ground state, there are stable solitons. These solutions are formed of radial density modulations resulting in nodal rings.
Mats Barkman +3 more
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The Soliton Solutions and Long-Time Asymptotic Analysis for a General Coupled KdV Equation
Advances in Mathematical Physics, 2021 A general coupled KdV equation, which describes the interactions of two long waves with different dispersion relation, is considered. By employing the Hirota’s bilinear method, the bilinear form is obtained, and the one-soliton solution and two-soliton ...
Changhao Zhang, Guiying Chen
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Advances in Difference Equations, 2020 This paper investigates the Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation by using Hirota’s direct method and the Kadomtsev–Petviashvili (KP) hierarchy reduction method.
Wenjuan Rui, Yufeng Zhang
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Interaction between vector solitons and solitonic gluons
Optics Letters, 1999 We describe a physical mechanism for creating multisoliton bound states by which optical solitons are glued together by attraction between the nonsoliton beams that they guide, solitonic gluons. We verify the concept of the solitonic gluons experimentally, observing a suppression of the repulsion between dark solitons owing to an attractive force ...
Chen, Zhanghai H +3 more
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