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Your search keyword '"Kumar, Sachin"' showing total 2 results
2 results on '"Kumar, Sachin"'

1. Dynamics of internal waves in a stratified ocean modeled by the extended Gardner equation with time-dependent coefficients.

Author

Kumar, Sachin, Singh, K., and Gupta, R.K.

Subjects
*INTERNAL waves, *MATHEMATICAL models of oceanography, *STRATIFIED flow, *MATHEMATICAL symmetry, *PAINLEVE equations, *COEFFICIENTS (Statistics)
Abstract

In this paper, we have considered the variable-coefficients Gardner (vc-Gardner) equation. We have check the Painlevé properties of vc-Gardner by using the Painlevé analysis and the symmetries for the equations are obtained using Lie group analysis. The exact solutions obtained from the symmetries and Painlevé analysis are presented. [ABSTRACT FROM AUTHOR]

Published
2013
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2. Benjamin–Bona–Mahony (BBM) equation with variable coefficients: Similarity reductions and Painlevé analysis

Author

Singh, K., Gupta, R.K., and Kumar, Sachin

Subjects
*NUMERICAL solutions to equations, *MATHEMATICAL symmetry, *MATHEMATICAL variables, *PAINLEVE equations, *DIFFERENTIAL equations, *ALGEBRA, *MATHEMATICAL analysis
Abstract

Abstract: The Lie-group formalism is applied to investigate the symmetries of the Benjamin–Bona–Mahony (BBM) equation with variable coefficients. We derive the infinitesimals and the admissible forms of the coefficients that admit the classical symmetry group. The ordinary differential equations deduced from the optimal system of subalgebras are further studied and some exact solutions are obtained. [Copyright &y& Elsevier]

Published
2011
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