Quasi-periodic waves and irregular solitary waves of the AB system

DOI10.1080/17455030.2020.1804091zbMath1502.76040OpenAlexW3049481643MaRDI QIDQ5093348

Jing-Jing Su, Gao-Fu Deng

Publication date: 26 July 2022

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2020.1804091

zbMATH Keywords

baroclinic instabilityperiodic wavetwo-layer inviscid fluidirregular solitary wave

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Solitary waves for incompressible inviscid fluids (76B25) Stability and instability of geophysical and astrophysical flows (76E20) Geophysical flows (76U60)

Related Items (1)

Multiple rogue wave, breather wave and interaction solutions of a generalized \((3 + 1)\)-dimensional variable-coefficient nonlinear wave equation

Cites Work

• Unnamed Item
• A kind of explicit Riemann theta functions periodic waves solutions for discrete soliton equations
• Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations
• Elastic and inelastic collisions of the semirational solutions for the coupled Hirota equations in a birefringent fiber
• High-order semi-rational solutions for the coherently coupled nonlinear Schrödinger equations with the positive coherent coupling
• Blow-up phenomena of a weakly dissipative modified two-component Dullin-Gottwald-Holm system
• Bäcklund transformations, nonlocal symmetries and soliton-cnoidal interaction solutions of the \((2+1)\)-dimensional Boussinesq equation
• Riemann-Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrödinger equations
• Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation
• Breathers and multi-soliton solutions for the higher-order generalized nonlinear Schrödinger equation
• Rogue wave solutions of AB system
• Riemann‐Hilbert approach for multisoliton solutions of generalized coupled fourth‐order nonlinear Schrödinger equations
• An example of soliton behaviour in a rotating baroclinic fluid
• Matter rogue waves for the three-component Gross–Pitaevskii equations in the spinor Bose–Einstein condensates
• Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation
• Multi-dark-dark solitons of the integrable repulsive AB system via the determinants
• Periodic solutions and Whitham equations for the AB system
• Rational and semi‐rational solutions of a nonlocal (2 + 1)‐dimensional nonlinear Schrödinger equation

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