Zobrazeno 1 - 10
of 745
pro vyhledávání: '"TALUKDAR, B."'
Publikováno v:
Physica A 474 (2017) 370 - 379
We make use of a Hylleraas-type wave function to derive an exact analytical model to quantify correlation in two-electron atomic/ionic systems and subsequently employ it to examine the role of inter-electronic repulsion in affecting (i) the bare (unc
Externí odkaz:
http://arxiv.org/abs/1703.03591
We examine the effect of dissipation on traveling waves in nonlinear dispersive systems modeled by Benjamin- Bona- Mahony (BBM)-like equations. In the absence of dissipation the BBM-like equations are found to support soliton and compacton/anticompac
Externí odkaz:
http://arxiv.org/abs/1504.02825
Autor:
Saha, Aparna, Talukdar, B
The non-standard Lagrangians (NSLs) for dissipative-like dynamical systems were introduced in an ad hoc fashion rather than being derived from the solution of the inverse problem of variational calculus. We begin with the first integral of the equati
Externí odkaz:
http://arxiv.org/abs/1305.6386
We observe that the fully nonlinear evolution equations of Rosenau and Hymann, often abbreviated as $K(n,\,m)$ equations, can be reduced to Hamiltonian form only on a zero-energy hypersurface belonging to some potential function associated with the e
Externí odkaz:
http://arxiv.org/abs/1006.4938
The equation of the Van der Pol oscillator, being characterized by a dissipative term, is non-Lagrangian. Appending an additional degree of freedom we bring the equation in the frame of action principle and thus introduce a one-way coupled system. As
Externí odkaz:
http://arxiv.org/abs/0910.1700
We show that the complex modified KdV (cmKdV) equation and generalized nonlinear Schr\"odinger (GNLS) equation belong to the Ablowitz, Kaup, Newell and Segur or so-called AKNS hierarchy. Both equations do not follow from the action principle and are
Externí odkaz:
http://arxiv.org/abs/0906.5054
Publikováno v:
Nonlinear Dynamics, 58 249-258 (2009)
Supersymmetrization of a nonlinear evolution equation in which the bosonic equation is independent of the fermionic variable and the system is linear in fermionic field goes by the name B-supersymmetrization. This special type of supersymmetrization
Externí odkaz:
http://arxiv.org/abs/0804.3861
Publikováno v:
Z. Naturforsch, 64a, 171-179 (2008)
We consider equations in the modified KdV (mKdV) hierarchy and make use of the Miura transformation to construct expressions for their Lax pair. We derive a Lagrangian-based approach to study the bi-Hamiltonian structure of the mKdV equations. We als
Externí odkaz:
http://arxiv.org/abs/0801.1763
We use a variational method to construct soliton solutions for systems characterized by opposing dispersion and competing nonlinearities at fundamental and second harmonics. We show that both ordinary and embedded solitons tend to gain energy when th
Externí odkaz:
http://arxiv.org/abs/0706.0600
Publikováno v:
SIGMA 3 (2007), 096, 11 pages
We derive a Lagrangian based approach to study the compatible Hamiltonian structure of the dispersionless KdV and supersymmetric KdV hierarchies and claim that our treatment of the problem serves as a very useful supplement of the so-called r-matrix
Externí odkaz:
http://arxiv.org/abs/0706.0314