2 papers
math.AP2026
Non-Local Energy Dissipation and Topological Obstructions in the Second-Order Positive Modified Burgers' Equation
Prasanta Chatterjee, Suman Pal
We study the higher-order flows of the modified Burgers' equation generated by its standard recursion operator. In particular, we show that the second-order positive flow takes the…
nlin.SI2026
On the Second-Order Positive Burgers' Equation: Integrability, Lax Pair, Darboux Transformations, and Lie Symmetry Reduction
Suman Pal, Prasanta chatterjee
This paper derives the second-order positive Burgers' equation from the standard Burgers' hierarchy to explore its complete integrability and exact analytical solutions. We constru…