8 papers
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…
Fractal Dimension in Nonlinear Wave Dynamics Governed by a Nonlinear Partial Differential Equation
Saugata Dutta, Kajal Kumar Mondal, Prasanta Chatterjee
This work presents a detailed analytical and geometrical investigation of the (2+1)-dimensional Boiti-Leon-Pempinelli system, a nonlinear dispersive model arising in the context of…
Multi-lump, lump-kink and interaction of breather with other nonlinear waves of a couple Boussinesq system
Snehalata Nasipuri, Prasanta Chatterjee
We investigate the interaction characteristics of nonlinear coherent structures in the couple Boussinesq (CB) system using the Hirota bilinear approach. First, we derive the lump s…
Analysis of Solitons within the framework of the fractional Zakharov-Kuznetsov equation utilizing Hirota bilinear method
Saugata Dutta, Prasanta Chatterjee, Snehalata Nasipuri
The influence of fractional order parameter in nonlinear waves is examined in the fractional Zakharov-Kuznetsov (FZK) equation with the Hirota bilinear approach. Symbolic com…