12 citations · 54 across the 11 of their papers we have counts for
11 papers
Transition to spatiotemporal chaos with multiple colliding pulse sequences of the nonlinear Schrödinger equation
Avner Peleg, Debananda Chakraborty
We present the first demonstration of transition to spatiotemporal chaos with multiple colliding pulse sequences in systems described by perturbed cubic nonlinear Schrödinger (NLS)…
Stabilizing optical solitons by frequency-dependent linear gain-loss and the collisional Raman frequency shift
Avner Peleg, Debananda Chakraborty
We study transmission stabilization of optical solitons against emission of radiation in nonlinear optical waveguides in the presence of weak linear gain-loss, cubic loss, and the…
Stabilizing solitons of the cubic-quintic nonlinear Schrödinger equation by frequency-dependent linear gain-loss and delayed Raman response
Avner Peleg, Debananda Chakraborty
We demonstrate transmission stabilization against radiation emission by frequency-dependent linear gain-loss and perturbation-induced frequency shifting for solitons of the cubic-q…
Radiation dynamics in fast soliton collisions in the presence of cubic loss
Avner Peleg, Debananda Chakraborty
We study the dynamics of emission of radiation (small-amplitude waves) in fast collisions between two solitons of the nonlinear Schrödinger (NLS) equation in the presence of weak c…
Enhancement of transmission quality in soliton-based optical waveguide systems by frequency dependent linear gain-loss and the Raman self-frequency shift
Avner Peleg, Debananda Chakraborty
We study transmission stabilization against radiation emission in soliton-based nonlinear optical waveguides with weak linear gain-loss, cubic loss, and delayed Raman response. We…
Large stable oscillations due to Hopf bifurcations in amplitude dynamics of colliding soliton sequences
Avner Peleg, Debananda Chakraborty
We demonstrate that the amplitudes of optical solitons in nonlinear multisequence optical waveguide coupler systems with weak linear and cubic gain-loss exhibit large stable oscill…
Stabilizing soliton-based multichannel transmission with frequency dependent linear gain-loss
Debananda Chakraborty, Avner Peleg, Quan M. Nguyen
We report several major theoretical steps towards realizing stable long-distance multichannel soliton transmission in Kerr nonlinear waveguide loops. We find that transmission dest…
Stable long-distance propagation and on-off switching of colliding soliton sequences with dissipative interaction
Debananda Chakraborty, Avner Peleg, Jae-Hun Jung
We study propagation and on-off switching of two colliding soliton sequences in the presence of second-order dispersion, Kerr nonlinearity, linear loss, cubic gain, and quintic los…
Efficient determination of critical parameters of nonlinear Schrödinger equation with point-like potential using generalized polynomial chaos methods
Debananda Chakraborty, Jae-Hun Jung, Emmanuel Lorin
We consider the nonlinear Schrödinger equation with a point-like source term. The soliton interaction with such a singular potential yields a critical solution behavior. That is, f…
Efficient determination of the critical parameters and the statistical quantities for Klein-Gordon and sine-Gordon equations with a singular potential using generalized polynomial chaos methods
Debananda Chakraborty, Jae-Hun Jung
We consider the Klein-Gordon and sine-Gordon type equations with a point-like potential, which describes the wave phenomenon in disordered media with a defect. The singular potenti…
A multi-domain hybrid method for head-on collision of black holes in particle limit
Debananda Chakraborty, Jae-Hun Jung, Gaurav Khanna
A hybrid method is developed based on the spectral and finite-difference methods for solving the inhomogeneous Zerilli equation in time-domain. The developed hybrid method decompos…