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- R. Rajaraman, G. Hariharan
- The Journal of Membrane Biology
- 2014

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
- 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)

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)

- Supriya Gupta, Lalitsen Sharma, +6 authors Yih-Chun Hu
- 2010

Routing in mobile ad hoc network is considered a challenging task due to the unpredictable changes in the network topology, resulting from the random and frequent movement of the nodes and due to the absence of any centralized control. Several routing protocols for mobile ad-hoc networks are being proposed. In this paper the performance of two major routing… (More)

- R. Rajaraman, S. L. Sondhi
- 1994

We calculate the lowest Landau level (LLL) current by working in the full Hilbert space of a two dimensional electron system in a magnetic field and keeping all the non-vanishing terms in the high field limit. The answer a) is not represented by a simple LLL operator and b) differs from the current operator, recently derived by Martinez and Stone in a field… (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)

- W Aiello, B Awerbuch, +24 authors Near
- 1998

This concludes the proof of the Claim, and hence of Theorem 9(b). 2 In addition to its inherent interest, Theorem 9 can be used in conjunction with our results on coarse balancing to obtain better bounds for counting. The idea is simply to use the results of Section 3 to bound the time to reach a certain threshold discrepancy, and then to switch to Theorem… (More)