Department Of Mathematics And Statistics

Permanent URI for this communityhttps://kr.cup.edu.in/handle/32116/43

Browse

Author: search.filters.author.Kumar, SachinHas files: Yes

Search Results

Now showing 1 - 4 of 4
  • Thumbnail Image
    Item
    Invariants of Generalized Fifth Order Non-Linear Partial Differential Equation
    (IntechOpen, 2018) Kumar, Sachin
    The fifth order non-linear partial differential equation in generalized form is analyzed for Lie symmetries. The classical Lie group method is performed to derive similarity variables of this equation and the ordinary differential equations (ODEs) are deduced. These ordinary differential equations are further studied and some exact solutions are obtained.
  • Thumbnail Image
    Item
    Exact Solutions of Some Complex Non-Linear Equations," Lecture Notes in Engineering and Computer Science
    (Newswood Limited, 2018) Kumar, Sachin
    Exact solutions of the coupled Higgs and Maccari system are obtained. Travelling wave solutions of coupled Higgs equation and Maccari system in the form of Jacobi’s elliptical functions are presented.
  • Thumbnail Image
    Item
    Invariant solutions of Biswas-Milovic equation
    (Springer Netherlands, 2017) Kumar, Sachin
    The Biswas-Milovic equation in generalized form and with power law nonlinearity is analyzed for Lie symmetries. The classical Lie group method is applied to derive symmetries of this equation, and the ordinary differential equations deduced are further studied; and some exact solutions are obtained. ? 2016, Springer Science+Business Media Dordrecht.
  • Thumbnail Image
    Item
    Solitons and other solutions to Wu–Zhang system
    (Vilnius University, 2017) Mirzazadeha, Mohammad; Ekicib, Mehmet; Eslamic, Mostafa; Krishnand, Edamana Vasudevan; Kumar, Sachin; Biswas, Anjan
    This paper addresses Wu–Zhang system to study dispersive long waves. The extended trial equation method extracts solitary waves, shock waves, and singular solitary waves solutions. Subsequently, Lie group formalism is also applied to derive symmetries of the Wu–Zhang system, and the derived ordinary differential equations are further analyzed to retrieve exact solutions are obtained. Finally, implementation of mapping method secures additional exact solutions.