Nonautonomous discrete rogue wave solutions and interactions in an inhomogeneous lattice with varying coefficients

DOI10.1016/j.jmaa.2012.05.058zbMath1431.35147OpenAlexW2034753139MaRDI QIDQ448249

Zhenya Yan, Dong-mei Jiang

Publication date: 30 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.05.058

zbMATH Keywords

symbolic analysissimilarity reductionnonautonomous discrete rogue wave solutionsthe generalized Ablowitz-Ladik-Hirota lattice with variable coefficients

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Solitary waves for incompressible inviscid fluids (76B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Difference equations (39A99) Lattice dynamics; integrable lattice equations (37K60)

Related Items (11)

Configurational complexity of nonautonomous discrete one-soliton and rogue waves in Ablowitz-Ladik-Hirota waveguide ⋮ Modulational instability and position controllable discrete rogue waves with interaction phenomena in the semi-discrete complex coupled dispersionless system ⋮ Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation ⋮ Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation ⋮ Bäcklund transformation, infinitely-many conservation laws, solitary and periodic waves of an extended (3 + 1)-dimensional Jimbo–Miwa equation with time-dependent coefficients ⋮ Dynamics of nonautonomous discrete rogue wave solutions for an Ablowitz-Musslimani equation with PT-symmetric potential ⋮ Multi-dark-dark solitons of the integrable repulsive AB system via the determinants ⋮ Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours ⋮ Higher-order rational solitons and rogue-like wave solutions of the \((2+1)\)-dimensional nonlinear fluid mechanics equations ⋮ Rogue-wave solutions for a discrete Ablowitz-Ladik equation with variable coefficients for an electrical lattice ⋮ Discrete approximations on functional classes for the integrable nonlinear Schrödinger dynamical system: a symplectic finite-dimensional reduction approach

Cites Work

• Unnamed Item
• Are rogue waves robust against perturbations?
• Rogon-like solutions excited in the two-dimensional nonlocal nonlinear Schrödinger equation
• Integrable nonlinear Schrödinger systems and their soliton dynamics
• Nonautonomous ``rogons in the inhomogeneous nonlinear Schrödinger equation with variable coefficients
• The discrete self-trapping equation
• On a class of discretizations of Hamiltonian nonlinear partial differential equations
• Physical mechanisms of the rogue wave phenomenon.
• Lattice dark solitons in the linear potential
• Vector financial rogue waves
• Water waves, nonlinear Schrödinger equations and their solutions
• KP solitons in shallow water
• Rogue waves, rational solutions, the patterns of their zeros and integral relations
• Nonlinear differential–difference equations and Fourier analysis
• A Nonlinear Difference Scheme and Inverse Scattering
• On the Solution of a Class of Nonlinear Partial Difference Equations
• Bose–Einstein condensate of kicked rotators with time-dependent interaction
• On the geometric equivalence of certain discrete integrable Heisenberg ferromagnetic spin chains
• Oceanic Rogue Waves
• Exact envelope-soliton solutions of a nonlinear wave equation
• Soliton Solutions for Discrete Hirota Equation. II

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