Abundant symmetry-breaking solutions of the nonlocal Alice-Bob Benjamin-Ono system
DOI10.1155/2020/2370970zbMath1447.35276OpenAlexW3032649857MaRDI QIDQ2196145
Jinxi Fei, Quanyong Zhu, Wang Shen, Junchao Chen, Zheng-Yi Ma
Publication date: 28 August 2020
Published in: Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2020/2370970
Bäcklund transformationAlice-Bob Benjamin-Ono systemlong internal gravity wavessymmetry-breaking solitons
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Symmetry breaking in quantum theory (81R40) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
Cites Work
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- A KAM theorem for Hamiltonian partial differential equations with unbounded perturbations
- New periodic solitary-wave solutions for the Benjiamin Ono equation
- Exact \(P_sT_d\) invariant and \(P_sT_d\) symmetric breaking solutions, symmetry reductions and Bäcklund transformations for an AB-KdV system
- Nonlocal symmetries of Frobenius sinh-Gordon systems
- Coherent structure of Alice-Bob modified Korteweg de-Vries equation
- The JEFE method and periodic solutions of two kinds of nonlinear wave equations
- Soliton excitations and shape-changing collisions in alpha helical proteins with interspine coupling at higher order
- Algebraic Solitary Waves in Stratified Fluids
- Algorithmic method for deriving Lax pairs from the invariant Painlevé analysis of nonlinear partial differential equations
- Nonlocal Symmetry and Explicit Solution of the Alice-Bob Modified Korteweg-de Vries Equation
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
- Alice-Bob systems, P^-T^-Ĉ symmetry invariant and symmetry breaking soliton solutions
- Rational solutions of the Boussinesq equation and applications to rogue waves
- Bäcklund transformation and the Painlevé property
- Prohibitions caused by nonlocality for nonlocal Boussinesq‐KdV type systems
- Optical soliton solutions for two coupled nonlinear Schrödinger systems via Darboux transformation
- Oceanic Rogue Waves
- Internal waves of permanent form in fluids of great depth
- Exact envelope-soliton solutions of a nonlinear wave equation
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