40 citations · 407 across the 63 of their papers we have counts for
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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…
Fourier spectrum and related characteristics of the fundamental bright soliton solution
N. Karjanto
We derive exact analytical expressions for the spatial Fourier spectrum of the fundamental bright soliton solution for the -dimensional nonlinear Schrödinger equation. Sim…
On spatial Fourier spectrum of rogue wave breathers
N. Karjanto
In this article, we derive exact analytical expressions for the spatial Fourier spectrum of the soliton family on a constant background. Also known as breathers, these solitons are…
Peregrine soliton as a limiting behavior of the Kuznetsov-Ma and Akhmediev breathers
N. Karjanto
This article discusses a limiting behavior of breather solutions of the focusing nonlinear Schrödinger (NLS) equation. These breathers belong to the families of solitons on a non-v…
Mathematical Aspects of Extreme Water Waves
Natanael Karjanto
This thesis deals with some theoretical aspects of deterministic freak wave generation in the wave basin of a hydrodynamic laboratory. We adopt the spatial nonlinear Schrödinger eq…
Discrete solitons dynamics in -symmetric oligomers with complex-valued couplings
O. B. Kirikchi, N. Karjanto
We consider an array of double oligomers in an optical waveguide device. A mathematical model for the system is the coupled discrete nonlinear Schrödinger (NLS) equations, where th…