44 citations · 176 across the 20 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.AP2014★ 3 cited
Existence and regularity of solutions in nonlinear wave equations
Geng Chen, Yannan Shen
In this paper, we study the global existence and regularity of Hölder continuous solutions for a series of nonlinear partial differential equations describing nonlinear waves.
nlin.PS2014★ 31 cited
Characterizing Traveling Wave Collisions in Granular Chains Starting from Integrable Limits: the case of the KdV and the Toda Lattice
Y. Shen, P. G. Kevrekidis, S. Sen +1
Our aim in the present work is to develop approximations for the collisional dynamics of traveling waves in the context of granular chains in the presence of precompression. To tha…
nlin.PS2014★ 9 cited
Traveling waves of the regularized short pulse equation
Y. Shen, T. P. Horikis, P. G. Kevrekidis +1
In the present work, we revisit the so-called regularized short pulse equation (RSPE) and, in particular, explore the traveling wave solutions of this model. We theoretically analy…