Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Kairzhan, Adilbek"'
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 problem and by applying techniques from Hamiltonian perturbation theory,
Externí odkaz:
http://arxiv.org/abs/2410.05360
Publikováno v:
Water Waves (2024)
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 surface wave packets and describe their resonant interaction by a system of
Externí odkaz:
http://arxiv.org/abs/2407.21396
Autor:
Kairzhan, Adilbek, Pusateri, Fabio
Publikováno v:
Pure Appl. Analysis 5 (2023) 795-832
We consider the nonlinear focusing Klein-Gordon equation in $1 + 1$ dimensions and the global space-time dynamics of solutions near the unstable soliton. Our main result is a proof of optimal decay, and local decay, for even perturbations of the stat
Externí odkaz:
http://arxiv.org/abs/2206.15008
This paper is a study of the water wave problem in a two-dimensional domain of infinite depth in the presence of nonzero constant vorticity. A goal is to describe the effects of uniform shear flow on the modulation of weakly nonlinear quasi-monochrom
Externí odkaz:
http://arxiv.org/abs/2204.13506
We review evolutionary models on quantum graphs expressed by linear and nonlinear partial differential equations. Existence and stability of the standing waves trapped on quantum graphs are studied by using methods of the variational theory, dynamica
Externí odkaz:
http://arxiv.org/abs/2201.08114
Autor:
Kairzhan, Adilbek
We study the nonlinear Schrödinger (NLS) equation on star graphs with the Neumann- Kirchhoff (NK) boundary conditions at the vertex. We analyze the stability of standing wave solutions of the NLS equation by using different techniques. We consider a
Externí odkaz:
http://hdl.handle.net/11375/25515
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 of normal form transformations near the equilibrium state to provide
Externí odkaz:
http://arxiv.org/abs/2108.10822
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, we include arbitrary multi-pulse positive states which approach asym
Externí odkaz:
http://arxiv.org/abs/2105.11938
A flower graph consists of a half line and $N$ symmetric loops connected at a single vertex with $N \geq 2$ (it is called the tadpole graph if $N = 1$). We consider positive single-lobe states on the flower graph in the framework of the cubic nonline
Externí odkaz:
http://arxiv.org/abs/2003.09397
When the coefficients of the cubic terms match the coefficients in the boundary conditions at a vertex of a star graph and satisfy a certain constraint, the nonlinear Schr\"{o}dinger (NLS) equation on the star graph can be transformed to the NLS equa
Externí odkaz:
http://arxiv.org/abs/1902.03612