Raimohan Rajaraman

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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)
— 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)
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)
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)