D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 32 Citations 4,105 189 World Ranking 2428 National Ranking 20

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Differential equation
  • Partial differential equation

His primary scientific interests are in Mathematical analysis, Fractional calculus, Adomian decomposition method, Nonlinear system and Differential equation. His study in the field of Partial differential equation, Mittag-Leffler function and One-dimensional space also crosses realms of Simple and Haar wavelet. His studies in Fractional calculus integrate themes in fields like Decomposition method, Nonlinear evolution, Calculus and Dynamics.

Initial value problem and Stiff equation is closely connected to Numerical analysis in his research, which is encompassed under the umbrella topic of Adomian decomposition method. His study in Nonlinear system is interdisciplinary in nature, drawing from both Derivative, Wavelet, Exact solutions in general relativity and Applied mathematics. His studies in Differential equation integrate themes in fields like Dynamical systems theory and Viscoelasticity.

His most cited work include:

  • An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method (177 citations)
  • Analytical solution of the Bagley Torvik equation by Adomian decomposition method (120 citations)
  • On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation (105 citations)

What are the main themes of his work throughout his whole career to date?

Mathematical analysis, Nonlinear system, Applied mathematics, Fractional calculus and Partial differential equation are his primary areas of study. In his work, Chebyshev filter is strongly intertwined with Wavelet, which is a subfield of Mathematical analysis. His Nonlinear system study also includes

  • Integral equation which intersects with area such as Collocation method,
  • Numerical analysis that intertwine with fields like Initial value problem.

His studies deal with areas such as Operational matrix and Order as well as Applied mathematics. S. Saha Ray has included themes like One-dimensional space, Mathematical physics, Decomposition method, Ordinary differential equation and Calculus in his Fractional calculus study. He regularly ties together related areas like Korteweg–de Vries equation in his Partial differential equation studies.

He most often published in these fields:

  • Mathematical analysis (42.98%)
  • Nonlinear system (23.14%)
  • Applied mathematics (22.31%)

What were the highlights of his more recent work (between 2018-2021)?

  • Applied mathematics (22.31%)
  • Nonlinear system (23.14%)
  • Mathematical analysis (42.98%)

In recent papers he was focusing on the following fields of study:

S. Saha Ray spends much of his time researching Applied mathematics, Nonlinear system, Mathematical analysis, Conservation law and Partial differential equation. The Applied mathematics study combines topics in areas such as Operational matrix, Wavelet and Differential equation. His Nonlinear system research incorporates elements of Schrödinger's cat and Kinetics.

S. Saha Ray does research in Mathematical analysis, focusing on Hermite transform specifically. His Conservation law study also includes fields such as

  • Plasma and Fractional calculus most often made with reference to Mathematical physics,
  • Lie group which is related to area like Vector field. His research integrates issues of Traveling wave, Fractional differential, Heat transfer and Space time in his study of Partial differential equation.

Between 2018 and 2021, his most popular works were:

  • New Optical Soliton Solutions of Nolinear Evolution Equation Describing Nonlinear Dispersion (20 citations)
  • Dispersive optical solitons of time-fractional Schrödinger-Hirota equation in nonlinear optical fibers (14 citations)
  • Lie symmetries, exact solutions and conservation laws of the Oskolkov–Benjamin–Bona–Mahony–Burgers equation (8 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Differential equation
  • Partial differential equation

S. Saha Ray mostly deals with Mathematical physics, Conservation law, Applied mathematics, Mathematical analysis and Soliton. His Mathematical physics research integrates issues from Lie group and Plasma. His Conservation law study combines topics from a wide range of disciplines, such as Differential operator and Derivative.

His Applied mathematics study combines topics in areas such as Infinitesimal, Wavelet and Ordinary differential equation, Differential equation. Mathematical analysis is closely attributed to Conformable matrix in his study. S. Saha Ray has researched Soliton in several fields, including Nonlinear dispersion, Nonlinear differential equations, Evolution equation and Classical mechanics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method

S. Saha Ray;R. K. Bera.
Applied Mathematics and Computation (2005)

271 Citations

Analytical solution of the Bagley Torvik equation by Adomian decomposition method

Santanu Saha Ray;R. K. Bera.
Applied Mathematics and Computation (2005)

199 Citations

On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation

Santanu Saha Ray.
Applied Mathematics and Computation (2012)

171 Citations

Analytical solution for the space fractional diffusion equation by two-step Adomian Decomposition Method

Santanu Saha Ray.
Communications in Nonlinear Science and Numerical Simulation (2009)

129 Citations

Analytical solution of a fractional diffusion equation by Adomian decomposition method

Santanu Saha Ray;R. K. Bera.
Applied Mathematics and Computation (2006)

121 Citations

Improved fractional sub-equation method for (3+1) -dimensional generalized fractional KdV-Zakharov-Kuznetsov equations

S. Sahoo;S. Saha Ray.
Computers & Mathematics With Applications (2015)

117 Citations

Fractional Calculus with Applications for Nuclear Reactor Dynamics

Santanu Saha Ray.
(2017)

107 Citations

Exact solutions for time-fractional diffusion-wave equations by decomposition method

Santanu Saha Ray.
Physica Scripta (2007)

104 Citations

Bacterial vaginosis: Etiology and modalities of treatment-A brief note.

Nikhil Kumar;Beauty Behera;Sai S Sagiri;Kunal Pal.
Journal of Pharmacy and Bioallied Sciences (2011)

90 Citations

Graph Theory with Algorithms and its Applications: In Applied Science and Technology

Santanu Saha Ray.
(2012)

89 Citations

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