Dynamics of rogue waves in the partially \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson systems
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Publication:2206190
DOI10.1016/J.CNSNS.2018.09.020OpenAlexW2963042864MaRDI QIDQ2206190
Publication date: 21 October 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.07061
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Traveling wave solutions (35C07) Soliton solutions (35C08)
Related Items (18)
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Cites Work
- Unnamed Item
- Unnamed Item
- Breathers and rogue waves for a third order nonlocal partial differential equation by a bilinear transformation
- Integrable \(\mathcal{PT}\)-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model
- Applications of Darboux transformations to the self-dual Yang-Mills equations
- Quasideterminants
- Determinants of matrices over noncommutative rings
- Darboux transformations for the Davey-Stewartson equations
- On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions
- Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrödinger equation
- Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- Complete integrability of nonlocal nonlinear Schrödinger equation
- Darboux transforms for Davey-Stewartson equations and solitons in multidimensions
- Transformations between Nonlocal and Local Integrable Equations
- Rogue waves of the nonlocal Davey–Stewartson I equation
- On three-dimensional packets of surface waves
- Dynamics of rogue waves in the Davey–Stewartson II equation
- Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations
- Quasideterminant solutions of a non-Abelian Hirota–Miwa equation
- Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation
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