Mukesh Kumar

About Mukesh Kumar

Mukesh Kumar, With an exceptional h-index of 20 and a recent h-index of 15 (since 2020), a distinguished researcher at Motilal Nehru National Institute of Technology Allahabad, specializes in the field of Fluid Mechanics, Differential Equations, Lie group Theory.

His recent articles reflect a diverse array of research interests and contributions to the field:

Nonclassical symmetries, optimal classification, and dynamical behavior of similarity solutions of (3+ 1)-dimensional Burgers equation

Lie symmetries, exact wave solutions and conservation laws of nonlinear Bogovalenskii Breaking-Soliton equation for Nerve pulse propagation

A study on analytical solutions and conservation laws of the cgKP occurring in straits

Recent Development of Adomian Decomposition Method for Ordinary and Partial Differential Equations

Symmetry analysis, optimal classification and dynamical structure of exact soliton solutions of (2+ 1)-dimensional modified Bogoyavlenskii–Schiff equation

Soliton solutions of the (2+ 1)-dimensional Nizhnik-Novikov-Veselov equation via the Lie symmetry method and its stability analysis by using bifurcation theory

Lie symmetry transformation, conservation laws and nonlinear self-adjointness of (2+ 1)-dimensional Date–Jimbo–Kashiwara–Miwa equation

Numerical Simulation of Time and Space Fractional Partial Differential Equation via 3-Scale Haar Wavelet

Mukesh Kumar Information

University

Position

Associate Professor Head Mathematics

Citations(all)

872

Citations(since 2020)

567

Cited By

511

hIndex(all)

20

hIndex(since 2020)

15

i10Index(all)

30

i10Index(since 2020)

22

Email

University Profile Page

Google Scholar

Mukesh Kumar Skills & Research Interests

Fluid Mechanics

Differential Equations

Lie group Theory

Top articles of Mukesh Kumar

Title

Journal

Author(s)

Publication Date

Nonclassical symmetries, optimal classification, and dynamical behavior of similarity solutions of (3+ 1)-dimensional Burgers equation

Chinese Journal of Physics

Shristi Srivastava

Mukesh Kumar

2024/6/1

Lie symmetries, exact wave solutions and conservation laws of nonlinear Bogovalenskii Breaking-Soliton equation for Nerve pulse propagation

International Journal of Applied and Computational Mathematics

Mukesh Kumar

Sushmita Anand

2024/2

A study on analytical solutions and conservation laws of the cgKP occurring in straits

Physica Scripta

Shitesh Shukla

Mukesh Kumar

Raj Kumar

2023/11/23

Recent Development of Adomian Decomposition Method for Ordinary and Partial Differential Equations

Mukesh Kumar

Umesh

2022/4

Symmetry analysis, optimal classification and dynamical structure of exact soliton solutions of (2+ 1)-dimensional modified Bogoyavlenskii–Schiff equation

Physica Scripta

Mukesh Kumar

Kumari Manju

2022/3/15

Soliton solutions of the (2+ 1)-dimensional Nizhnik-Novikov-Veselov equation via the Lie symmetry method and its stability analysis by using bifurcation theory

Physica Scripta

Kumari Manju

Mukesh Kumar

2022/11/8

Lie symmetry transformation, conservation laws and nonlinear self-adjointness of (2+ 1)-dimensional Date–Jimbo–Kashiwara–Miwa equation

The European Physical Journal Plus

Mukesh Kumar

Kumari Manju

2022/1/8

Numerical Simulation of Time and Space Fractional Partial Differential Equation via 3-Scale Haar Wavelet

International Journal of Applied and Computational Mathematics

Shitesh Shukla

Mukesh Kumar

2022/8

Lie symmetries, invariant solutions and phenomena dynamics of Boiti–Leon–Pempinelli system

Physica Scripta

Dig Vijay Tanwar

Mukesh Kumar

Atul Kumar Tiwari

2022/6/23

On Lie symmetries and invariant solutions of Broer–Kaup–Kupershmidt equation in shallow water of uniform depth

Journal of Ocean Engineering and Science

Dig Vijay Tanwar

Mukesh Kumar

2022/4/29

Solitary wave solutions of mKdV–Calogero–Bogoyavlenskii–Schiff equation by using Lie symmetry analysis

International Journal of Geometric Methods in Modern Physics

Mukesh Kumar

Kumari Manju

2021/2/26

Some more invariant solutions of (2+ 1)-water waves

International Journal of Applied and Computational Mathematics

Mukesh Kumar

Raj Kumar

Anshu Kumar

2021/2

Lie symmetries, exact solutions and conservation laws of the Date–Jimbo–Kashiwara–Miwa equation

Nonlinear Dynamics

Dig Vijay Tanwar

Mukesh Kumar

2021/12

Dynamics of some more invariant solutions of (3+ 1)-Burgers system

International Journal for Computational Methods in Engineering Science and Mechanics

R Kumar

M Kumar

AK Tiwari

2021/6/16

Lie symmetries and invariant solutions of -dimensional breaking soliton equation

Pramana

Mukesh Kumar

Dig Vijay Tanwar

2020/12

Closed form invariant solutions of (2+ 1)-dimensional extended shallow water wave equation via Lie approach

The European Physical Journal Plus

Mukesh Kumar

Kumari Manju

2020/10

See List of Professors in Mukesh Kumar University(Motilal Nehru National Institute of Technology Allahabad)

Co-Authors

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