5 citations · 6 across the 7 of their papers we have counts for
7 papers
Travelling wave solutions of equations in the Burgers Hierarchy
Amitava Choudhuri, Modhan Mohan Panja, Supriya Chatterjee +1
We emphasize that construction of travelling wave solutions for partial differential equations is a problem of considerable interest and thus introduce a simple algebraic method to…
Travelling-wave solutions and solitons of KdV, mKdV and NLS equations
Supriya Chatterjee, Pranab Sarkar, Benoy Talukdar
We introduce the concept of soliton solutions of integrable nonlinear partial differential equations and point out that the inverse spectral method represents the rigorous mathemat…
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…
Inverse variational problem for nonlinear dynamical systems
Basir Ahamed Khan, Supriya Chatterjee, Golam Ali Sekh +1
In this paper we have chosen to work with two different approaches to solving the inverse problem of the calculus of variation. The first approach is based on an integral represent…