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Dr. Sumanta Shagolshem

Assistant Professor, Department of Mathematics, Amrita School of Engineering, Bengaluru

Qualification: BSc, MSc, Ph.D
Google Scholar Profile
Research Interest: Partial Differential equations, Lie symmetry analysis, Nonlocal symmetries, Conservation laws, Soliton Theory, Nonlinear Dynamical Systems, Fluid mechanics, and Solid mechanics

Bio

Dr. Sumanta Shagolshem currently working as an Assistant Professor at the Department of Mathematics, Amrita School of Engineering, Bengaluru.

Publications

Journal Article

Year : 2025

Analysis of wave propagation and conservation laws for a shallow water model with two velocities via Lie symmetry

Cite this Research Publication : Aniruddha Kumar Sharma, Sumanta Shagolshem, Rajan Arora, Analysis of wave propagation and conservation laws for a shallow water model with two velocities via Lie symmetry, Communications in Nonlinear Science and Numerical Simulation, Elsevier BV, 2025, https://doi.org/10.1016/j.cnsns.2025.108637

Publisher : Elsevier BV

Year : 2024

The nanoparticles aggregation aspects on the chemically reactive unsteady flow of alumina-water based nanofluid: A Keller box approach with applications of wavelet physics inspired neural networks

Cite this Research Publication : Sumanta Shagolshem, Chandan K, Malatesh Akkur, Bharti Kumari, Chander Prakash, T.V. Smitha, Naveen Kumar R, The nanoparticles aggregation aspects on the chemically reactive unsteady flow of alumina-water based nanofluid: A Keller box approach with applications of wavelet physics inspired neural networks, Partial Differential Equations in Applied Mathematics, Elsevier BV, 2024, https://doi.org/10.1016/j.padiff.2024.100931

Publisher : Elsevier BV

Year : 2024

Analysis of soliton wave structure for coupled Higgs equation via Lie symmetry, Paul Painlevé approach and the Unified method

Cite this Research Publication : Sumanta Shagolshem, B. Bira, K. V. Nagaraja, Analysis of soliton wave structure for coupled Higgs equation via Lie symmetry, Paul Painlevé approach and the Unified method, Nonlinear Dynamics, Springer Science and Business Media LLC, 2024, https://doi.org/10.1007/s11071-024-10697-6

Publisher : Springer Science and Business Media LLC

Year : 2024

Lie symmetry analysis on heat and mass transport aspects of rate type fluid flow with waste discharge concentration: Keller Box approach

Cite this Research Publication : Nagaraja, K. V., SumantaShagolshem, BhaveshKanabar, Ankit Kedia, AmalAbdulrahman, Chander Prakash, M. Umeshaiah, and K. Chandan. "Lie symmetry analysis on heat and mass transport aspects of rate type fluid flow with waste discharge concentration: Keller Box approach." Scientific Reports 14, no. 1 (2024): 28803.Impact Factor: 3.8

Publisher : Scientific Reports

Year : 2024

Exact solutions, conservation laws, and shock wave propagation of two-lanes traffic flow model via Lie symmetry

Cite this Research Publication : Shagolshem, Sumanta, B. Bira, and K. V. Nagaraja. "Exact solutions, conservation laws, and shock wave propagation of two-lanes traffic flow model via Lie symmetry." Physics of Fluids 36, no. 8 (2024).Impact Factor: 4.1

Publisher : Physics of Fluids

Year : 2024

Analysis of shock wave propagation in two-layered blood flow model via Lie symmetry

Cite this Research Publication : Shagolshem, S., Bira, B., & Nagaraja, K. V. Analysis of shock wave propagation in two-layered blood flow model via Lie symmetry. International Journal of Non-Linear Mechanics, 2024, 104761. Impact Factor 3.2 – Q1

Year : 2023

Optimal subalgebras and conservation laws with exact solutions for biological population model

Cite this Research Publication : Sumanta Shagolshem, B. Bira, D. Zeidan, Optimal subalgebras and conservation laws with exact solutions for biological population model, Chaos, Solitons & Fractals, Elsevier BV, 2023, https://doi.org/10.1016/j.chaos.2022.112985

Publisher : Elsevier BV

Year : 2023

Classification of nonlocal symmetries and exact solutions for 3 × 3 Chaplygin gas equation with conservation laws

Cite this Research Publication : Sumanta Shagolshem, B. Bira, Classification of nonlocal symmetries and exact solutions for 3 × 3 Chaplygin gas equation with conservation laws, Physics of Fluids, AIP Publishing, 2023, https://doi.org/10.1063/5.0151753

Publisher : AIP Publishing

Year : 2023

On the investigation of a one-dimensional blood flow model in elastic arteries under symmetry analysis

Cite this Research Publication : Sumanta Shagolshem, B. Bira, D. Zeidan, On the investigation of a one-dimensional blood flow model in elastic arteries under symmetry analysis, International Journal of Biomathematics, World Scientific Pub Co Pte Ltd, 2023, https://doi.org/10.1142/s1793524523500614

Publisher : World Scientific Pub Co Pte Ltd

Year : 2022

Conservation laws and some new exact solutions for traffic flow model via symmetry analysis

Cite this Research Publication : Sumanta Shagolshem, B. Bira, Subhankar Sil, Conservation laws and some new exact solutions for traffic flow model via symmetry analysis, Chaos, Solitons & Fractals, Elsevier BV, 2022, https://doi.org/10.1016/j.chaos.2022.112779

Publisher : Elsevier BV

Year : 2022

Study of wave propagation in arterial blood flow under symmetry analysis

Cite this Research Publication : Sumanta Shagolshem, B. Bira, Dia Zeidan, Study of wave propagation in arterial blood flow under symmetry analysis, Mathematical Methods in the Applied Sciences, Wiley, 2022, https://doi.org/10.1002/mma.8706

Publisher : Wiley

Conference Proceedings

Year : 2019

Surface wave scattering by porous and flexible barrier over a permeable bed

Cite this Research Publication : Sumanta Shagolshem, Siluvai Antony Selvan, Muhammad Sani, Harekrushna Behera, Surface wave scattering by porous and flexible barrier over a permeable bed, AIP Conference Proceedings, AIP Publishing, 2019, https://doi.org/10.1063/1.5112364

Publisher : AIP Publishing

Education
  • Ph.D (2020-2024, SRM Institute of Science and Technology, Kattankulathur)
  • M. Sc.-Mathematics (2017-2019, SRM Institute of Science and Technology, Kattankulathur)
  • B. Sc.-Mathematics Honours (2014-2017, D.M College of Science, Manipur University)
Professional Appointments
Designation/Year Affiliation
Assistant professor (2025-till date) Amrita Vishwa Vidyapeetham, Bengaluru-560035, India.
Postdoctoral Researcher
(2024-2025)
Amrita Vishwa Vidyapeetham, Bengaluru-560035, India.
Courses Taught
  • Vector Calculus
  • Multivariable calculus
  • Linear algebra
  • Matrix algebra
  • Ordinary Differential Equations.
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