6 citations · 12 across the 5 of their papers we have counts for
5 papers
Solitons, compactons and undular bores in Benjamin-Bona-Mahony-like systems
Aparna Saha, B. Talukdar, Umapada Das +1
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 BB…
Dynamical systems theory for nonlinear evolution equations
Amitava Choudhuri, B Talukdar, Umapada Das
We observe that the fully nonlinear evolution equations of Rosenau and Hymann, often abbreviated as equations, can be reduced to Hamiltonian form only on a zero-energy h…
One-way coupled Van der Pol system
Sangeeta Ghosh, B. Talukdar, U. Das
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 fra…
Modified KdV hierarchy : Lax pair representation and bi-Hamiltonian structure
Amitava Choudhuri, B. Talukdar, U. Das
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 approa…
Inverse problem of variational calculus for nonlinear evolution equations
Sk. Golam Ali, B. Talukdar, U. Das
We couple a nonlinear evolution equation with an associated one and derive the action principle. This allows us to write the Lagrangian density of the system in terms of the origin…