Generalized Darboux transformation and solitons for the Ablowitz–Ladik equation in an electrical lattice

Painlevé analysis, auto-Bäcklund transformation and analytic solutions of a (21)-dimensional generalized Burgers system with the variable coefficients in a fluid

(2022) Tian-Yu Zhou et al.   NONLINEAR DYNAMICS

Darboux transformation, localized waves and conservation laws for an M-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber

(2022) Dan-Yu Yang et al.   CHAOS SOLITONS & FRACTALS

Wronskian, Gramian, Pfaffian and periodic-wave solutions for a (3+1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves

(2022) Fei-Yan Liu et al.   NONLINEAR DYNAMICS

Studies on certain bilinear form, N-soliton, higher-order breather, periodic-wave and hybrid solutions to a (3+1)-dimensional shallow water wave equation with time-dependent coefficients

(2022) Yuan Shen et al.   NONLINEAR DYNAMICS

Considering the Shallow Water of a Wide Channel or an Open Sea Through a Generalized (2+1)-dimensional Dispersive Long-wave System

(2022) Xiao-Tian Gao et al.   Qualitative Theory of Dynamical Systems

Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system

(2022) Xin-Yi Gao et al.   APPLIED MATHEMATICS LETTERS

Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, N-fold Darboux transformation and explicit exact solutions

(2022) Yuan Shen et al.   CHAOS SOLITONS & FRACTALS

Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation

(2022) Xi-Hu Wu et al.   CHAOS SOLITONS & FRACTALS

Discrete Nonlinear Schrödinger Systems for Periodic Media with Nonlocal Nonlinearity: The Case of Nematic Liquid Crystals

(2021) Panayotis Panayotaros   Applied Sciences-Basel

Chaos and localization in the discrete nonlinear Schrödinger equation

(2021) Stefano Iubini et al.   CHAOS SOLITONS & FRACTALS

Generation mechanism of rogue waves for the discrete nonlinear Schrödinger equation

(2018) Min Li et al.   APPLIED MATHEMATICS LETTERS

Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation

(2018) Xiao-Yong Wen et al.   JOURNAL OF MATHEMATICAL PHYSICS

Localized-wave interactions for the discrete nonlinear Schrodinger equation under the nonvanishing background

(2018) Min Li et al.   PHYSICA SCRIPTA

N-fold Darboux transformation, conservation laws and modulation instability for the semi-discrete coupled nonlinear Schrödinger equation

(2017) Xiao-Juan Zhao et al.   MODERN PHYSICS LETTERS B

Modulation instability, Fermi-Pasta-Ulam recurrence, rogue waves, nonlinear phase shift, and exact solutions of the Ablowitz-Ladik equation

(2011) Nail Akhmediev et al.   PHYSICAL REVIEW E

Discrete rogue waves of the Ablowitz-Ladik and Hirota equations

(2010) Adrian Ankiewicz et al.   PHYSICAL REVIEW E