3 papers
math-ph2025
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…
math-ph2024
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…
math-ph2024
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…