Prof. Dr. Karanjeet Singh
Professor and Head
Mathematics
Jaypee University of Information Technology
India
Biography
Professor (2009-to present), Associate Professor (2005-2009), Assistant Professor (2002-2005). Dr. K Singh received his M.Sc. and PhD degrees both in Mathematics from IIT Delhi in year 1994 and 2000 respectively. He joined JIIT Noida in 2002 as Assistant Professor and later on, in 2004, he moved to JUIT Waknaghat where he is currently serving as Professor of Mathematics. Prior to joining JIIT Noida he was with Guru Jambheshwar University of Science and Technology, Hisar (Haryana) India, where he was Lecturer of Mathematics since 1998
Research Interest
Most of my work, including the current has been in the field of nonlinear partial differential equations with the prime focus on deriving the exact solutions for them. When compared with the variety of techniques available in linear system theory, the tools for analysis and design of nonlinear systems are limited to some very special categories. This is the reason when confronted with a nonlinear problem, the first approach usually is to linearize; in other words, to try to avoid the nonlinear aspects of the problem. It is indeed a happy circumstance when a solution can be obtained in this way. When it is not possible, the tendency is to try to avoid the situation altogether, presumably in the hope that the problem will go away. But in analyzing the behavior of any physical system, one often encounters situations where the linearized model is inadequate or inaccurate ; that is the time when study of nonlinear models become imperative.
Publications
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Sachin Kumar, Karanjeet Singh, R. K. Gupta (2012). Painleve Analysis, Lie Symmetries and Exact Solutions for (2+1) dimensional Variable Coefficient Broer-Kaup Equations. Communications in Nonlinear Science and Numerical Simulation, 17 (4), 1529-1541. Google Citation
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Sachin Kumar, Karanjeet Singh, R. K. Gupta (2012). Coupled Higgs ï¬eld equation and Hamiltonian amplitude equation: Lie classical approach and (G G)-expansion method. Pramana - Journal of Physics, 79 (1), 41-60. Google Citation
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SACHIN KUMAR, Karanjeet Singh, R K GUPTA (2012). Coupled Higgs field equation and Hamiltonian amplitude equation: Lie classical approach and (G′/G)-expansion method. Pramana - Journal of Physics, 79 (1), 41-60. Google Citation
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Kumar S., Karanjeet Singh, Gupta R.K. (2013). Dynamics of internal waves in a stratified ocean modeled by the extended Gardner equation with time-dependent coefficients. Ocean Engineering, 70 (), 81-87. Google Citation
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Manoj Guar, Karanjeet Singh (2014). On group invariant solutions of fractional order Burgers�Poisson equation. Applied Mathematics and Computation, 244 (1 October 2014), 870-877. Google Citation
