64 citations · 199 across the 8 of their papers we have counts for
8 papers
Exploring the Dynamics of Nonlocal Nonlinear Waves: Analytical Insights into the Extended Kadomtsev-Petviashvili Model
K. Sakkaravarthi, Sudhir Singh, N. Karjanto
The study of nonlocal nonlinear systems and their dynamics is a rapidly increasing field of research. In this study, we take a closer look at the extended nonlocal Kadomtsev-Petvia…
Lump and Soliton on Certain Spatially-varying Backgrounds for an Integrable (3+1) Dimensional Fifth-order Nonlinear Oceanic Wave Model
Sudhir Singh, K. Sakkaravarthi, K. Murugesan
The dynamics of nonlinear waves with controllable dispersion, nonlinearities, and background continues to be an exciting line of research in recent years. In this work, we focus to…
Transverse Spectral Instabilities in Konopelchenko-Dubrovsky Equation
Bhavna, Ashish Kumar Pandey, Sudhir Singh
We study the transverse spectral stability of the one-dimensional small-amplitude periodic traveling wave solutions of the (2+1)-dimensional Konopelchenko-Dubrovsky (KD) equation.…
Localized Nonlinear Waves on Spatio-Temporally Controllable Backgrounds for a (3+1)-Dimensional Kadomtsev-Petviashvili-Boussinesq Model in Water Waves
Sudhir Singh, K. Sakkaravarthi, K. Murugesan
Physics of nonlinear waves on variable backgrounds and the relevant mathematical analysis continues to be the challenging aspect of the study. In this work, we consider a (3+1)-dim…
Painlevé Analysis and Higher-Order Rogue Waves of a Generalized(3+1)-dimensional Shallow Water Wave Equation
Sudhir Singh, K. Sakkaravarthi, T. Tamizhmani +1
Considering the importance of ever-increasing interest in exploring localized waves, we investigate a generalized (3+1)-dimensional Hirota-Satsuma-Ito equation describing the unidi…
Benjamin-Ono equation: Rogue waves, generalized breathers, soliton bending, fission, and fusion
Sudhir Singh, K. Sakkaravarthi, K. Murugesan +1
In this work, we construct various interesting localized wave structures of the Benjamin-Ono equation describing the dynamics of deep water waves. Particularly, we extract the rogu…