Zobrazeno 1 - 10
of 25
pro vyhledávání: '"R Sinuvasan"'
Publikováno v:
Acta Polytechnica, Vol 57, Iss 6, Pp 467-469 (2017)
The Kummer–Schwarz Equation, 2y'y'''− 3(y'')2 = 0, has a generalisation, (n − 1)y(n−2)y(n) − ny(n−1)2 = 0, which shares many properties with the parent form in terms of symmetry and singularity. All equations of the class are integrable i
Externí odkaz:
https://doaj.org/article/01cfc78a533d4c888652dfcdd89ded2a
Publikováno v:
Afrika Matematika. 32:1657-1667
Symmetry analysis of coupled higher-dimensional forced Burgers’ equation is investigated for various cases. The Lie algebra for the various cases of forcing terms is investigated. Interestingly, for a linear forcing term, the symmetry analysis lead
Publikováno v:
Pramana. 95
We study the symmetry and integrability of a modified Camassa–Holm equation (MCH), with an arbitrary parameter k, of the form $$\begin{aligned} u_{t}+k(u-u_{xx})^2u_{x}-u_{xxt}+(u^{2}-{u_{x}}^2)(u_{x}-u_{xxx})=0. \end{aligned}$$ The commutator tabl
Publikováno v:
International Journal of Non-Linear Mechanics. 112:1-5
This paper discusses two different problems. The first is the classic system of the Euler equations for the rotation of a rigid body about a fixed point. We study the Euler system using singularity analysis for the zero torque and nonzero torque case
Publikováno v:
Quaestiones Mathematicae. 43:857-867
The symmetry analysis of the Cheng equation is performed. The Cheng equation is reduced to a first-order equation of either Abel’s equations, the analytic solution of which is given in terms of spe...
Publikováno v:
Mathematics, Vol 5, Iss 1, p 1 (2016)
We consider the master equation of quantum Brownian motion, and with the application of the group invariant transformation, we show that there exists a surface on which the solution of the master equation is given by an autonomous one-dimensional Sch
Externí odkaz:
https://doaj.org/article/54acbe3a2f92462a9088165a6d9fac11
Publikováno v:
Quaestiones Mathematicae; Vol 42, No 4 (2019); 517-532
We present some properties of a differential sequence prompted by a formula in a paper by Maryna Nesterenko (International Journal of Mathematics and Mathematical Sciences 2006 (2006), Article ID 17410) in terms of the symmetry, singularity and integ
Publikováno v:
Applied Mathematics and Computation. 303:165-170
We examine the general element of the Burgers Hierarchy, ut+x(xu)nu=0,n=0,1,2,, for its Lie point symmetries. We use these symmetries to construct traveling-wave and self-similar solutions. We observe that the general member of the hierarchy can be r
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Publikováno v:
Differential Equations and Dynamical Systems. 28:315-324
The Kummer–Schwarz Equation, $$2 y'y''' - 3 y''{}^2 = 0$$, (the prime denotes differentiation with respect to the independent variable x) is well known from its connection to the Schwartzian Derivative and in its own right for its interesting prope