activity
20052022
most citedSoliton solutions of the Kadomtsev-Petviashvili II equation

153 citations · 363 across the 11 of their papers we have counts for

collaborators

11 papers

nlin.SI2022★ 24 cited

Classification of KPI Lumps

Sarbarish Chakravarty, Michael Zowada

A large family of nonsingular rational solutions of the Kadomtsev-Petviashvili (KP) I equation are investigated. These solutions are constructed via the Gramian method and are iden…

nlin.SI2021★ 23 cited

Dynamics of KPI lumps

Sarbarish Chakravarty, Michael Zowada

A family of nonsingular rational solutions of the Kadomtsev-Petviashvili (KP) I equation are investigated. These solutions have multiple peaks whose heights are time-dependent and…

math.CA2017★ 2 cited

The Chazy XII Equation and Schwarz Triangle Functions

Oksana Bihun, Sarbarish Chakravarty

Dubrovin [Lecture Notes in Math., Vol. 1620, Springer, Berlin, 1996, 120-348] showed that the Chazy XII equation , , is equivale…

nlin.SI2017★ 14 cited

On a reduction of the generalized Darboux-Halphen system

Sumanto Chanda, Sarbarish Chakravarty, Partha Guha

The equations for the general Darboux-Halphen system obtained as a reduction of the self-dual Yang-Mills can be transformed to a third-order system which resembles the classical Da…

nlin.SI2013★ 21 cited

Construction of KP solitons from wave patterns

Sarbarish Chakravarty, Yuji Kodama

We often observe that waves on the surface of shallow water form complex web-like patterns. They are examples of nonlinear waves, and these patterns are generated by nonlinear inte…

nlin.SI2009★ 17 cited

On the construction of the KP line-solitons and their interactions

Sarbarish Chakravarty, Tim Lewkow, Ken-ichi Maruno

The line-soliton solutions of the Kadomtsev--Petviashvili (KP) equation are investigated in this article using the tau-function formalism. In particular, the Wronskian and the Gram…