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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

131 5- PDF

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

154 4- PDF

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

30 3- PDF

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

21 3- PDF

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

11 3

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

73 2- PDF

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

66 2- PDF

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

86 2- PDF

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

65 2- PDF

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

20 2- PDF