2 citations · 3 across the 4 of their papers we have counts for
9 papers
Traveling Waves for Nonlocal Derivative Nonlinear Schrödinger Equations: A Variational Characterization
Amin Esfahani, Adilbek Kairzhan, Mukhtar Karazym
We establish several existence results for traveling-wave solutions of the nonlocal derivative nonlinear Schrödinger equation with general coefficients by variational methods. We s…
A Hamiltonian Dysthe equation for hydroelastic waves in a compressed ice sheet
Philippe Guyenne, Adilbek Kairzhan, Catherine Sulem
Nonlinear hydroelastic waves along a compressed ice sheet lying on top of a two-dimensional fluid of infinite depth are investigated. Based on a Hamiltonian formulation of this pro…
Interaction between long internal waves and free surface waves in deep water
Adilbek Kairzhan, Christopher Kennedy, Catherine Sulem
We consider a density-stratified fluid composed of two immiscible layers separated by a sharp interface. We study the regime of long internal waves interacting with modulated surfa…
Hamiltonian Dysthe equation for 3D deep-water gravity waves
Philippe Guyenne, Adilbek Kairzhan, Catherine Sulem
This article concerns the water wave problem in a three-dimensional domain of infinite depth and examines the modulational regime for weakly nonlinear wavetrains. We use the method…
Multi-pulse edge-localized states on quantum graphs
Adilbek Kairzhan, Dmitry E. Pelinovsky
Edge-localized stationary states of the focusing nonlinear Schrodinger equation on a general quantum graph are considered in the limit of large mass. Compared to the previous works…
Standing waves on a flower graph
Adilbek Kairzhan, Robert Marangell, Dmitry E. Pelinovsky +1
A flower graph consists of a half line and symmetric loops connected at a single vertex with (it is called the tadpole graph if ). We consider positive single…