$p$-adic discrete dynamical systems and their applications in physics and cognitive sciences

$P_\infty$ algebra of KP, free fermions and 2-cocycle in the Lie algebra of pseudodifferential operators

$q$-analogue of modified KP hierarchy and its quasi-classical limit

$q$-Breathers in finite lattices: nonlinearity and weak disorder

$R$-matrices and Hamiltonian Structures for Certain Lax Equations

$sl(2|1)^{(2)}$ Gaudin Magnet and its associated Knizhnik-Zamolodchikov equation

$w_{\infty}$ 3-algebra and integrable system

$\hbar \to 0$ in Kicked Harper Model: Reassurances and Surprises

$\hbar$ corrections in semi-classical formula for smooth chaotic dynamics

$π$-kinks in strongly ac driven sine-Gordon systems

'Animal spirits' and expectations in U.S. recession forecasting

'Universality' of the Ablowitz-Ladik hierarchy

(1+1)-dimensional separation of variables

(1+1)-dimensional turbulence

(1+1)-dimensional turbulence systems reduced from (2+1)-dimensional Lax integrable dispersive long wave equation

(2+0)-Dimensional Integrable Equations and Exact Solutions

(2+1)D surface solitons at the interface between a linear medium and a nonlocal nonlinear medium

(Global and Local) Fluctuations of Phase Space Contraction in Deterministic Stationary Non-equilibrium

(Non)local Hamiltonian and symplectic structures, recursions, and hierarchies: a new approach and applications to the N=1 supersymmetric KdV equation

(Vanishing) Twist in the Saddle-Centre and Period-Doubling Bifurcation