Fifth-Order Alice-Bob Systems and Their Abundant Periodic and Solitary Wave Solutions*
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Publication:3387087
DOI10.1088/0253-6102/71/10/1149zbMath1451.35179OpenAlexW2980776103MaRDI QIDQ3387087
Qiliang Zhao, Man Jia, Sen-yue Lou
Publication date: 12 January 2021
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0253-6102/71/10/1149
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)
Related Items (6)
Novel travelling wave structures: few-cycle-pulse solitons and soliton molecules ⋮ Some special exact solutions in nonlocal Alice-Bob sine-Gordon systems ∗ ⋮ Multi-place physics and multi-place nonlocal systems ⋮ Solitons and soliton molecules in two nonlocal Alice–Bob Sawada–Kotera systems ⋮ Exact solutions of the nonlocal Sawada–Kotera equation in the Alice–Bob system ⋮ Solitons and soliton molecules in two nonlocal Alice-Bob fifth-order KdV systems
Cites Work
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- Exact \(P_sT_d\) invariant and \(P_sT_d\) symmetric breaking solutions, symmetry reductions and Bäcklund transformations for an AB-KdV system
- Coherent structure of Alice-Bob modified Korteweg de-Vries equation
- Dynamics of rogue waves in the partially \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson systems
- Bilinearisation-reduction approach to the nonlocal discrete nonlinear Schrödinger equations
- Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform
- On bidirectional fifth-order nonlinear evolution equations, Lax pairs, and directionally dependent solitary waves
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- Nonlocal Nonlinear Schrödinger System with Shifted Parity and Delayed Time Reversal Symmetries
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- Alice-Bob systems, P^-T^-Ĉ symmetry invariant and symmetry breaking soliton solutions
- Prohibitions caused by nonlocality for nonlocal Boussinesq‐KdV type systems
- Consistent Riccati Expansion for Integrable Systems
- Solutions of Nonlocal Equations Reduced from the AKNS Hierarchy
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