245 citations · 264 across the 3 of their papers we have counts for
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nlin.PS2006
High Lewis number combustion wavefronts: a perturbative Melnikov analysis
S. Balasuriya, G. A. Gottwald, J. Hornibrook +1
The wavefronts associated with a one-dimensional combustion model with Arrhenius kinetics and no heat loss are analyzed within the high Lewis number perturbative limit. This situat…
nlin.PS2003★ 19 cited
The Zakharov-Kuznetsov Equation as a Two-Dimensional Model for Nonlinear Rossby Waves
Georg A. Gottwald
We study the dynamics of two-dimensional coherent structures in planetary atmospheres and oceans. We derive the Zakharov-Kuznetsov equation for large scale motion from the barotrop…
nlin.PS2003★ 245 cited
On asymptotically equivalent shallow water wave equations
H. R. Dullin, G. A. Gottwald, D. D. Holm
The integrable 3rd-order Korteweg-de Vries (KdV) equation emerges uniquely at linear order in the asymptotic expansion for unidirectional shallow water waves. However, at quadratic…