• Publications
  • Influence
Ferroelastic dynamics and strain compatibility
We derive underdamped evolution equations for the order-parameter (OP) strains of a proper ferroelastic material undergoing a structural transition, using Lagrangian variations with RayleighExpand
  • 131
  • 5
  • PDF
Particle model for skyrmions in metallic chiral magnets: Dynamics, pinning, and creep
Recently spin textures called skyrmions have been discovered in certain chiral magnetic materials without spatial inversion symmetry, and have attracted enormous attention due to their promisingExpand
  • 154
  • 4
  • PDF
On some classes of mKdV periodic solutions
We obtain exact periodic solutions of the positive and negative modified Kortweg-de Vries (mKdV) equations. We examine the dynamical stability of these solitary wave lattices through direct numericalExpand
  • 30
  • 3
  • PDF
Nonlinear Dirac equation solitary waves in external fields.
We consider nonlinear Dirac equations (NLDE's) in the 1+1 dimension with scalar-scalar self-interaction g2/κ+1(Ψ[over ¯]Ψ)κ+1 in the presence of various external electromagnetic fields. We find exactExpand
  • 21
  • 3
  • PDF
Compactons in PT-symmetric generalized Korteweg-de Vries equations
In an earlier paper Cooper, Shepard, and Sodano introduced a generalized KdV equation that can exhibit the kinds of compacton solitary waves that were first seen in equations studied by Rosenau andExpand
  • 11
  • 3
Skyrmion fractionalization and merons in chiral magnets with easy-plane anisotropy
We study the equilibrium phase diagram of ultrathin chiral magnets with easy-plane anisotropy $A$. The vast triangular skyrmion lattice phase that is stabilized by an external magnetic field evolvesExpand
  • 73
  • 2
  • PDF
Exact solutions of the saturable discrete nonlinear Schrödinger equation
Exact solutions to a nonlinear Schrodinger lattice with a saturable nonlinearity are reported. For finite lattices we find two different standing-wave-like solutions, and for an infinite lattice weExpand
  • 66
  • 2
  • PDF
Phenomenological theory of a single domain wall in uniaxial trigonal ferroelectrics: Lithium niobate and lithium tantalate
A phenomenological treatment of domain walls based on the Ginzburg-Landau-Devonshire theory is developed for uniaxial trigonal ferroelectrics, lithium niobate and lithium tantalate. The contributionsExpand
  • 86
  • 2
  • PDF
Robust and fragile PT -symmetric phases in a tight-binding chain
We study the phase diagram of a parity- and time-reversal- ($\mathcal{P}\mathcal{T}$-) symmetric tight-binding chain with $N$ sites and hopping energy $J$ in the presence of two impurities withExpand
  • 65
  • 2
  • PDF
Stability and dynamical properties of Rosenau-Hyman compactons using Padé approximants.
We present a systematic approach for calculating higher-order derivatives of smooth functions on a uniform grid using Padé approximants. We illustrate our findings by deriving higher-orderExpand
  • 20
  • 2
  • PDF