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Sachin Kumar

Researcher at University of Delhi

Publications -  343
Citations -  3527

Sachin Kumar is an academic researcher from University of Delhi. The author has contributed to research in topics: Nonlinear system & Computer science. The author has an hindex of 19, co-authored 251 publications receiving 1560 citations. Previous affiliations of Sachin Kumar include Bhabha Atomic Research Centre & Dept. of Computer Science, University of Delhi.

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Lie symmetry reductions and group invariant solutions of (2 + 1)-dimensional modified Veronese web equation

TL;DR: In this article, the authors applied the Lie symmetry method to compute group invariant solutions for the modified Veronese web (mVw) equation and obtained its infinitesimals, commutation table of Lie algebra, symmetry reductions and closed form analytical solutions.
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Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation

TL;DR: In this article, the Lie group of transformation method via one-dimensional optimal system is proposed to obtain some more exact solutions of the (4+1)-dimensional Fokas equation.
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New exact solitary wave solutions of the strain wave equation in microstructured solids via the generalized exponential rational function method

TL;DR: In this article, the generalized exponential rational function method was used to obtain exact solitary wave solutions in various forms of the strain wave equation, including multiple-solitons, bell-shaped solitons, traveling waves, trigonometric and rational solutions.
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Lie symmetry analysis and generalized invariant solutions of (2+1)-dimensional dispersive long wave (DLW) equations

TL;DR: In this article, the authors apply the Lie group of point transformation method to construct the generalized invariant solutions for the (2+1)-dimensional dispersive long wave (DLW) equations under some constraints imposed on infinitesimal generators.