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- Publications
- Influence
Ferroelastic dynamics and strain compatibility
- T. Lookman, S. R. Shenoy, K. Rasmussen, A. Saxena, A. Bishop
- Physics
- 20 November 2002
We derive underdamped evolution equations for the order-parameter (OP) strains of a proper ferroelastic material undergoing a structural transition, using Lagrangian variations with Rayleigh… Expand
Particle model for skyrmions in metallic chiral magnets: Dynamics, pinning, and creep
- Shi-Zeng Lin, C. Reichhardt, C. Batista, A. Saxena
- Physics
- 25 February 2013
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 promising… Expand
On some classes of mKdV periodic solutions
- P. Kevrekidis, A. Khare, A. Saxena, G. Herring
- Mathematics, Physics
- 21 October 2004
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 numerical… Expand
Nonlinear Dirac equation solitary waves in external fields.
- F. Mertens, N. R. Quintero, Fred Cooper, A. Khare, A. Saxena
- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 10 August 2012
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 exact… Expand
Compactons in PT-symmetric generalized Korteweg-de Vries equations
- A. Saxena, B. Mihaila, C. Bender, Fred Cooper, A. Khare
- Physics, Mathematics
- 1 August 2009
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 and… Expand
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Skyrmion fractionalization and merons in chiral magnets with easy-plane anisotropy
- Shi-Zeng Lin, A. Saxena, C. Batista
- Physics
- 5 June 2014
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 evolves… Expand
Exact solutions of the saturable discrete nonlinear Schrödinger equation
- A. Khare, K. Rasmussen, M. R. Samuelsen, A. Saxena
- Mathematics, Physics
- 27 September 2004
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 we… Expand
Phenomenological theory of a single domain wall in uniaxial trigonal ferroelectrics: Lithium niobate and lithium tantalate
- D. Scrymgeour, V. Gopalan, A. Itagi, A. Saxena, P. J. Swart
- Materials Science, Physics
- 13 March 2005
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 contributions… Expand
Robust and fragile PT -symmetric phases in a tight-binding chain
- Y. Joglekar, Derek D. Scott, Mark Babbey, A. Saxena
- Physics
- 17 August 2010
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 with… Expand
Stability and dynamical properties of Rosenau-Hyman compactons using Padé approximants.
- B. Mihaila, A. Cárdenas, Fred Cooper, A. Saxena
- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 1 May 2010
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-order… Expand