5 papers · 1 filter
Formation and interaction of two-dimensional electron-acoustic solitons and breathers in superthermal plasmas
Jayshree Mondal, Prasanta Chatterjee, Biswajit Sahu
The nonlinear evolution and mutual interaction of two-dimensional electron acoustic (EA) nonlinear structures in superthermal plasma environment are studied. The plasma model consi…
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…
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…
Emergence of fractal structures from breather interactions in the -dimensional Konopelchenko--Dubrovsky equation
Snehalata Nasipuri, Prasanta Chatterjee, Saugata Dutta
Fractal structures generated through nonlinear breather interactions are investigated for the -dimensional Konopelchenko--Dubrovsky (KD) equation by means of the Hirota bili…
Exact solution of the (2+1)-dimensional damping forcing coupled Burgers equation by using Darboux transformation
Prasanta Chatterjee, Nanda Kanan Pal, Dipan Saha +1
In this article, we investigate the (2+1)-dimensional damping forcing coupled Burgers equation, which is obtain by adding damping and forcing terms from couple Burgers equation. Th…