A
Amit Kumar
Researcher at Sri Venkateswara College
Publications - 12
Citations - 594
Amit Kumar is an academic researcher from Sri Venkateswara College. The author has contributed to research in topics: Soliton & Symmetry (physics). The author has an hindex of 9, co-authored 12 publications receiving 255 citations. Previous affiliations of Amit Kumar include University of Delhi.
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Lie symmetry reductions and group invariant solutions of (2 + 1)-dimensional modified Veronese web equation
Sachin Kumar,Amit Kumar +1 more
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.
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Lie symmetries, optimal system and group-invariant solutions of the (3+1)-dimensional generalized KP equation
TL;DR: In this paper, a (3+1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation with weakly non-linear restoring forces and frequency dispersion was constructed by applying the Lie symmetry method.