Breather-like solitons, rogue waves, quasi-periodic/chaotic states for the surface elevation of water waves

DOI10.1007/s11071-019-04904-yzbMath1430.35216OpenAlexW2944161427WikidataQ127927908 ScholiaQ127927908MaRDI QIDQ2296936

Bo Tian, Cong-Cong Hu, Hui-Min Yin, Chen-Rong Zhang, Xin-Chao Zhao

Publication date: 18 February 2020

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-019-04904-y

zbMATH Keywords

chaosnonlinear Schrödinger equationwhite noiserogue wavesmodulation instabilitybreather-like solitons

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (4)

Breather, lump, shock and travelling-wave solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics ⋮ Lax pair, conservation laws, Darboux transformation, breathers and rogue waves for the coupled nonautonomous nonlinear Schrödinger system in an inhomogeneous plasma ⋮ Bilinear Bäcklund transformation, Lax pair and interactions of nonlinear waves for a generalized \((2 + 1)\)-dimensional nonlinear wave equation in nonlinear optics/fluid mechanics/plasma physics ⋮ High-order rogue waves and their dynamics of the Fokas-Lenells equation revisited: a variable separation technique

Cites Work

• On the quintic time-dependent coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics
• Modulation instability: The beginning
• \(q\)-extension of the Euler formula and trigonometric functions
• Breather-to-soliton transition for a sixth-order nonlinear Schrödinger equation in an optical fiber
• Multi-soliton solutions for a \((2+1)\)-dimensional variable-coefficient nonlinear Schrödinger equation
• Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows
• Mathematical view with observational/experimental consideration on certain \((2+1)\)-dimensional waves in the cosmic/laboratory dusty plasmas
• Multi-dark soliton solutions for a coupled AB system in the geophysical flows
• Soliton collisions for the Kundu-Eckhaus equation with variable coefficients in an optical fiber
• Solving dynamic equilibrium models by a method of undetermined coefficients
• Lax pair, infinitely many conservation laws and solitons for a \((2 + 1)\)-dimensional Heisenberg ferromagnetic spin chain equation with time-dependent coefficients
• Bilinear forms, modulational instability and dark solitons for a fifth-order variable-coefficient nonlinear Schrödinger equation in an inhomogeneous optical fiber
• Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Rogue Waves for an Alternative System of Coupled Hirota Equations: Structural Robustness and Modulation Instabilities
• Bäcklund transformation, infinitely-many conservation laws, solitary and periodic waves of an extended (3 + 1)-dimensional Jimbo–Miwa equation with time-dependent coefficients
• Solitons for a (2+1)-dimensional coupled nonlinear Schrödinger system with time-dependent coefficients in an optical fiber
• Vector semirational rogue waves for the coupled nonlinear Schrödinger equations with the higher-order effects in the elliptically birefringent optical fiber
• The disintegration of wave trains on deep water Part 1. Theory
• Dark soliton excitations and collisions for the (2+1)-dimensional variable-coefficient Davey-Stewartson-like equations in the plasmas or Bose-Einstein condensates

This page was built for publication: Breather-like solitons, rogue waves, quasi-periodic/chaotic states for the surface elevation of water waves