5 papers
On the solution and Lagrangian representation of Duffing oscillator with damping
Amitava Choudhuri, Madan Mohan Panja, Benoy Talukdar
We construct the equation of Duffing oscillator in a dissipative medium using certain concepts from elementary mechanics. The Duffing equation (DE) without damping can be solved an…
Null Lagrangians in Schwarzian mechanics
Pratik Majhi, Madan Mohan Panja, Pranab Sarkar +1
In addition to standard and non-standard Lagrangians of classical mechanics, we consider, in this work, null Lagrangians that (i) identically satisfy the Euler-Lagrange equation an…
Inverse variational problem for equations in the Riccati chain
Pranab Sarkar, Pratik Majhi, Madan Mohan Panja +1
The nonstandard Lagrangian representations of Ricatti and Riccati-type equations that exist in the literature cannot be obtained using Helmholtz solution of the inverse problem. In…
A rapidly convergent approximation scheme for nonlinear autonomous and non-autonomous wave-like equations
Prakash Kumar Das, M. M. Panja
In this work, an efficient approximation scheme has been proposed for getting accurate approximate solution of nonlinear partial differential equations with constant or variable co…
Study of the sextic and decatic anharmonic oscillators using an interpolating scale function
K. Manimegalai, Swaraj Paul, M. M. Panja +1
Anharmonic oscillators with the sextic and decatic potentials are studied employing the refinable interpolating scale functions. This method yields highly accurate values of both e…