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Mathematics

D-Index
41
Citations
5694
World Ranking
1943
National Ranking
22

Overview

S. Saha Ray is affiliated with the National Institute of Technology Rourkela in India. Their research spans multiple domains within mathematics and physics, with a significant focus on fractional differential equations and nonlinear wave phenomena.

The scientist has contributed extensively to the study of fractional differential equations, nonlinear waves and solitons, and nonlinear photonic systems. Their research also covers differential equations and numerical methods, iterative methods for nonlinear equations, numerical methods in engineering, as well as algebraic structures and combinatorial models.

S. Saha Ray's main fields of study include Mathematics and Physics and Astronomy. Within these, they particularly focus on subfields such as Statistical and Nonlinear Physics, Modeling and Simulation, Numerical Analysis, Geometry and Topology, and Applied Mathematics.

The following recent papers are among their contributions:

  • New exact solutions for time-fractional Kaup-Kupershmidt equation using improved (G'/G)-expansion and extended (G'/G)-expansion methods, 2020, Alexandria Engineering Journal
  • New Soliton Solutions of Fractional Jaulent-Miodek System with Symmetry Analysis, 2020, Symmetry
  • New various multisoliton kink-type solutions of the (1 + 1)-dimensional Mikhailov-Novikov-Wang equation, 2021, Mathematical Methods in the Applied Sciences
  • A new approach by two-dimensional wavelets operational matrix method for solving variable-order fractional partial integro-differential equations, 2020, Numerical Methods for Partial Differential Equations

They also have a book published with WORLD SCIENTIFIC (EUROPE) eBooks titled Stochastic Integral and Differential Equations in Mathematical Modelling, released in 2022.

S. Saha Ray frequently collaborates with several coauthors in their research work. These include:

  • Shailendra Singh
  • Vinita Makkar
  • Budhi Sagar
  • P. K. Singh
  • Nilkanta Das

The scientist regularly publishes in various academic venues. Some of the most frequent publication outlets for their work are:

  • International Journal of Modern Physics B
  • Modern Physics Letters B
  • Computational and Applied Mathematics
  • Mathematical Methods in the Applied Sciences
  • arXiv (Cornell University)

Best Publications

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

    S. Saha Ray;R. K. Bera

  • Analytical solution of the Bagley Torvik equation by Adomian decomposition method

    Santanu Saha Ray;R. K. Bera

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

    Santanu Saha Ray

  • Analytical solution of a fractional diffusion equation by Adomian decomposition method

    Santanu Saha Ray;R. K. Bera

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

    Santanu Saha Ray

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

    S. Sahoo;S. Saha Ray

  • Fractional Calculus with Applications for Nuclear Reactor Dynamics

    Santanu Saha Ray

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

    Santanu Saha Ray

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

    Nikhil Kumar;Beauty Behera;Sai S Sagiri;Kunal Pal

  • Lie symmetry analysis for similarity reduction and exact solutions of modified KdV–Zakharov–Kuznetsov equation

    S. Sahoo;G. Garai;S. Saha Ray

  • New analytical exact solutions of time fractional KdV–KZK equation by Kudryashov methods

    S Saha Ray

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

    Santanu Saha Ray

  • Comparison between homotopy perturbation method and optimal homotopy asymptotic method for the soliton solutions of Boussinesq–Burger equations

    A.K. Gupta;S. Saha Ray

  • Analytical Solution of a Dynamic System Containing Fractional Derivative of Order One-Half by Adomian Decomposition Method

    S. Saha Ray;B. P. Poddar;R. K. Bera

  • Analytical approximate solution of nonlinear dynamic system containing fractional derivative by modified decomposition method

    S. Saha Ray;K. S. Chaudhuri;R. K. Bera

  • SOLUTION OF AN EXTRAORDINARY DIFFERENTIAL EQUATION BY ADOMIAN DECOMPOSITION METHOD

    S. Saha Ray;R. K. Bera

  • Legendre wavelets operational method for the numerical solutions of nonlinear Volterra integro-differential equations system

    P.K. Sahu;S.Saha Ray

  • A numerical solution of the coupled sine-Gordon equation using the modified decomposition method

    Santanu Saha Ray

  • Fractional Calculus and Its Applications in Applied Mathematics and Other Sciences

    Santanu Saha Ray;Abdon Atangana;S. C. Oukouomi Noutchie;Muhammet Kurulay

  • Solitary wave solutions for time fractional third order modified KdV equation using two reliable techniques (G′/G)-expansion method and improved (G′/G)-expansion method

    S. Sahoo;S. Saha Ray

  • A new approach for the application of Adomian decomposition method for the solution of fractional space diffusion equation with insulated ends

    Santanu Saha Ray

Frequent Co-Authors

Kunal Pal
Kunal Pal National Institute of Technology Rourkela
M.A. Abdou
M.A. Abdou Mansoura University
Adem Kilicman
Adem Kilicman Universiti Teknologi MARA
Kripasindhu Chaudhuri
Kripasindhu Chaudhuri Jadavpur University
Abdon Atangana
Abdon Atangana University of the Free State
Yu-Ming Chu
Yu-Ming Chu Huzhou University
Yasir Khan
Yasir Khan Zhejiang University
Om P. Agrawal
Om P. Agrawal Southern Illinois University Carbondale
Tapas K. Maiti
Tapas K. Maiti Indian Institute of Technology Kharagpur
Arun Majumdar
Arun Majumdar Stanford University

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