2 citations · 4 across the 6 of their papers we have counts for
9 papers
Exact solution of the (2+1)-dimensional damping forcing coupled Burgers equation by using Darboux transformation
Prasanta Chatterjee, Nanda Kanan Pal, Dipan Saha +1
In this article, we investigate the (2+1)-dimensional damping forcing coupled Burgers equation, which is obtain by adding damping and forcing terms from couple Burgers equation. Th…
Efficient Computation of Periodic Orbits of Forced Rayleigh Equation in the Framework of Novel Asymptotic Structures
Aniruddha Palit, Dhurjati Prasad Datta, Santanu Raut
Higher precision efficient computation of period 1 relaxation oscillations of strongly nonlinear and singularly perturbed Rayleigh equations with external periodic forcing is prese…
Novel Excitation of local fractional dynamics
Dhurjati Prasad Datta, Soma Sarkar, Santanu Raut
The question of a possible excitation and emergence of fractional type dynamics, as a more realistic framework for understanding emergence of complex systems, directly from a conve…
D Alemberts solution of fractional wave equations using complex fractional transformation
Uttam Ghosh, Md Ramjan Ali, Santanu Raut +2
Fractional wave equation arises in different type of physical problems such as the vibrating strings, propagation of electro-magnetic waves, and for many other systems. The exact a…
Ultrametric Cantor sets and Origin of Anomalous Diffusion
Dhurjati Prasad Datta, Santanu Raut, Anuja Roy Chaudhuri
The anomalous mean square fluctuations are shown to arise naturally from the ordinary diffusion equation interpreted scale invariantly in a formalism endowing real numbers with a n…
Ultrametric Cantor Sets and Growth of Measure
D. P. Datta, S. Raut, A. Raychoudhuri
A class of ultrametric Cantor sets introduced recently in literature (Raut, S and Datta, D P (2009), Fractals, 17, 45-52) is shown to enjoy some novel properties. The…
The arrow of time, complexity and the scale free analysis
Dhurjati Prasad Datta, Santanu Raut
The origin of complex structures, randomness, and irreversibility are analyzed in the scale free SL(2,R) analysis, which is an extension of the ordinary analysis based on the recen…
Non-Archimedean Scale Invariance and Cantor Sets
Santanu Raut, Dhurjati Prasad Datta
The framework of a new scale invariant analysis on a Cantor set , presented originally in {\it S. Raut and D. P. Datta, Fractals, 17, 45-52, (2009)}, is cla…
Analysis on a Fractal Set
Santanu Raut, Dhurjati Prasad Datta
The formulation of a new analysis on a zero measure Cantor set is presented. A non-archimedean absolute value is introduced in exploiting the concept of {…