50 citations · 59 across the 23 of their papers we have counts for
8 papers · 1 filter
Rational solutions for algebraic solitons in the massive Thirring model
Zhen Zhao, Cheng He, Baofeng Feng +1
An algebraic soliton of the massive Thirring model (MTM) is expressed by the simplest rational solution of the MTM with the spatial decay of . The correspondin…
Bright and dark breathers on an elliptic wave in the defocusing mKdV equation
Dmitry E. Pelinovsky, Rudi Weikard
Breathers on an elliptic wave background consist of nonlinear superpositions of a soliton and a periodic wave, both traveling with different wave speeds and interacting periodicall…
Kink breathers on a traveling wave background in the defocusing modified Korteweg--de Vries equation
Lynnyngs Kelly Arruda, Dmitry E. Pelinovsky
We characterize a general traveling periodic wave of the defocusing mKdV (modified Korteweg--de Vries) equation by using a quotient of products of Jacobi's elliptic theta functions…
Traveling periodic waves and breathers in the nonlocal derivative NLS equation
Jinbing Chen, Dmitry E. Pelinovsky
A nonlocal derivative NLS (nonlinear Schrödinger) equation describes modulations of waves in a stratified fluid and a continuous limit of the Calogero--Moser--Sutherland system of…
Instability bands for periodic traveling waves in the modified Korteweg-de Vries equation
Shikun Cui, Dmitry E. Pelinovsky
Two families of periodic traveling waves exist in the focusing mKdV (modified Korteweg-de Vries) equation. Spectral stability of these waveforms with respect to co-periodic perturb…
Stability analysis of breathers for coupled nonlinear Schrodinger equations
Liming Ling, Dmitry E. Pelinovsky, Huajie Su
We investigate the spectral stability of non-degenerate vector soliton solutions and the nonlinear stability of breather solutions for the coupled nonlinear Schrodinger (CNLS) equa…