Degenerate soliton solutions and their dynamics in the nonlocal Manakov system: I symmetry preserving and symmetry breaking solutions
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Publication:785298
DOI10.1007/s11071-018-4567-5zbMath1439.35447arXiv1806.06729OpenAlexW2963149336WikidataQ128875740 ScholiaQ128875740MaRDI QIDQ785298
S. Stalin, Murugaian Senthilvelan, Muthusamy Lakshmanan
Publication date: 6 August 2020
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.06729
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (9)
Symmetry broken and symmetry preserving multi-soliton solutions for nonlocal complex short pulse equation ⋮ On long-time asymptotics to the nonlocal short pulse equation with the Schwartz-type initial data: without solitons ⋮ Bright soliton solutions to a nonlocal nonlinear Schrödinger equation of reverse-time type ⋮ On \(\mathcal{PT}\)-symmetric semi-discrete coupled integrable dispersionless system ⋮ General, symmetry non-preserving and preserving multiple soliton solutions of long wave-short wave resonant models ⋮ Bäcklund transformation and localized nonlinear wave solutions of the nonlocal defocusing coupled nonlinear Schrödinger equation ⋮ Dynamics of lump-soliton solutions to the \(PT\)-symmetric nonlocal Fokas system ⋮ Symmetry breaking and restoration of symmetric solitons in partially parity-time-symmetric potentials ⋮ Energy-sharing collisions and the dynamics of degenerate solitons in the nonlocal Manakov system
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