A Survey of my Research

Nonlinear Micromagnetics

1.Soliton spin excitations  in classical / semiclassical Heisenberg ferromagnetic spin chains with biquadratic spin-spin    exchange interaction, Dzyaloshinski - Moriya weak
    interaction, octupole-dipole interaction etc. have been obtained
2. Soliton spin excitations have been identified in the case of radially symmetric Heisenberg ferromagnetic systems in the classical continuum limit.
3. Nonlinear spin excitations in the form of twists, solitary waves, kinks have been obtained in antiferromagnets, coupled ferromagnetic systems and spin ladders in the
    classical/semiclassical continuum limit.
4. Chaotic spin configuration  has been found in anisotropic ferromagnetic chains in symmetry breaking external magnetic field.

Magneto-Optics

 1.Magnetization reversal has been observed in isotropic ferromagnetic films when electromagnetic field is applied .
 2.Electromagnetic soliton propagation in isotropic and  anisotropic ferromagnetic/antiferromagnetic and also ferromagnetic spin ladders has been analysed extensively.
    The electromagnetic field is also found to excite the magnetization of the medium in the form of  spin-solitons.  Simultaneous propagation of N-EM-signals through
     isotropic ferromagnetic medium has also bee acheived in this process.
 

Optical Solitons

 1. A simplest and novel approach has been proposed to generate optical solitons in non-kerr medium by taking into account the torque between the EM-field and the
     induced electric dipoles in the dielectric fiber medium.
 

Solitons in Biomacromolecular Chains

1. Energy transfer in the form of soliton has been found in the Davydov model of alpha helical proteins with higher order molecular excitations and interaction and also when
    interspine coupling is considered important.
2. A generalized Davydov model has been proposed for energy transfer in the form of  solitons.
3. Localized nonlinear molecular excitations in DNA - double helix model has been obtained.
4. Folding character  of protein molecules has been found to be dictated by fractal dimension values of the globular proteins.
 

Nonlinear Molecular Deformations in Liquid Crystals

 1. Localized nonlinear deformations for the order parameter in nematic liquid crystal has been obtained during the flow.
 

Soliton and Integrable Models

1. Multisoliton solutions to nonlinear evolution equations that appear in above physical problems have been calculated using Hirota's bilinear method and Inverse Scattering
     Transform method.
2. Integrable models in the above physical problems have been identified through singularity structure analysis.
3. Differential geometric techniques have been used to map the Landau-Lifshitz equation of ferromagnetic spin systems with different kinds of magnetic interactions to
    nonlinear Schrodinger family of equations through space curve mapping.
4. Discrete space curve mapping procedure has been developed in the case of discrete ferromagnetic spin chains with different magnetic interactions.