5 papers
On the Erdős Five-Edge Intersection Problem
Chengrui Fang, Jianfeng Hou
For an -vertex graph and a permutation of its vertex set, let \[ I_G(π)=|E(G)\cap E(G_π)|,\qquad μ(G)=\min_π I_G(π), \] where is the copy of obtained by relabe…
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…