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In this paper, we have applied an efficient wavelet-based approximation method for solving the Fisher’s type and the fractional Fisher’s type equations arising in biological sciences. To the best of our knowledge, until now there is no rigorous wavelet solution has been addressed for the Fisher’s and fractional Fisher’s equations. The highest derivative in… (More)

- Shau-Jin Chang, R. Rajaraman
- 1993

We study chiral vertex operators in the sine-Gordon [SG] theory, viewed as an off-conformal system. We find that these operators, which would have been primary fields in the conformal limit, have interesting and, in some ways, unexpected properties in the SG model. Some of them continue to have scale-invariant dynamics even in the presence of the… (More)

- R. Rajaraman
- 2008

In this paper we study in detail different types of topological solitons which are possible in bilayer quantum Hall systems at filling fraction ν = 1 when spin degrees of freedom are included. Starting from a microscopic Hamiltonian we derive an effective energy functional for studying such excitations. The gauge invariance and CP 3 character of this energy… (More)

- R. Rajaraman
- 2001

The origin and quantum status of Fractional Charge in polyacetylne and field theory are reviewed, along with reminiscences of collaboration with John Bell on the subject.

- R Rajaraman, G Hariharan
- 2013

— In this paper, we have applied an accurate and efficient homotopy analysis method (HAM) to find the approximate/analytical solutions for space and time fractional reaction-diffusion equations arising in mathematical chemistry. The method provides solutions in rapid convergence series with computable terms. To the best of our knowledge, until now there is… (More)

- R Rajaraman, G Hariharan, K Kannan, Corresponding Author
- 2013

In this work Homotopy Perturbation transform Method (HPTM) is used for analytical treatment of the Cauchy Reaction-Diffusion equations .This method is the combined form of Homotopy perturbation method and Laplace transform method. The Nonlinear terms can be easily decomposed by use of He's polynomials. This method can provide analytical solutions to the… (More)

In this paper, an operational matrix of integration based on Haar wavelets (HW) is introduced, and a procedure for applying the matrix to solve space and time fractional telegraph equations is formulated. The space and time fractional derivatives are considered in the Caputo sense. The accuracy and effectiveness of the proposed method is demonstrated by the… (More)

In this paper we report calculations of some pseudospin textures for bilayer quantum hall systems with filling factor ν = 1. The textures we study are isolated single meron solutions. Meron solutions have already been studied at great length by others by minimising the microcopic Hamiltonian between microscopic trial wavefunctions. Our approach is somewhat… (More)

- R. Rajaraman
- 2008

We will present here an elementary pedagogical introduction to CP N solitons in quantum Hall systems. We will begin with a brief introduction to both CP N models and to quantum Hall (QH) physics. Then we will focus on spin and layer-spin degrees of freedom in QH systems and point out that these are in fact CP N fields for N=1 and N=3. Excitations in these… (More)

- R. Rajaraman
- 2008

We present a field theory of Jain's composite fermion model [1], as generalised to the bilayer quantum Hall systems. We define operators which create composite fermions and write the Hamiltonian exactly in terms of these operators. This is seen to be a complexified version of the familiar Chern Simons theory. In the mean-field approximation, the composite… (More)