Results 121 to 130 of about 32,605 (214)

Rogue Waves in the Nonlinear Schrödinger, Kadomtsev–Petviashvili, Lakshmanan–Porsezian–Daniel and Hirota Equations

Axioms
We give some of our results over the past few years about rogue waves concerning some partial differential equations, such as the focusing nonlinear Schrödinger equation (NLS), the Kadomtsev–Petviashvili equation (KPI), the Lakshmanan–Porsezian–Daniel ...
Pierre Gaillard
doaj   +1 more source

Coupled Higher-order Nonlinear Schrödinger Equations In A Generalized Elastic Medium [PDF]

, 2015
Tez (Yüksek Lisans) -- İstanbul Teknik Üniversitesi, Fen Bilimleri Enstitüsü, 2001Thesis (M.Sc.) -- İstanbul Technical University, Institute of Science and Technology, 2001Bu çalışmada, genelleştirilmiş elastik bir ortamda yayılan enine dalgaların ...
Hacınlıyan, İrma
core   +1 more source

Well-posedness of nonlinear Schrödinger equations from deterministic and probabilistic viewpoints [PDF]

In this thesis, we study the Cauchy problem for nonlinear Schrödinger equations (NLS) in various settings. Firstly, we consider NLS with a quadratic nonlinearity |u|² on the two-dimensional torus.
Liu, Ruoyuan
core   +1 more source

Ergodicity for the weakly damped stochastic non-linear Schrödinger equations [PDF]

, 2005
International audienceWe study a damped stochastic non-linear Schrödinger (NLS) equation driven by an additive noise. It is white in time and smooth in space. Using a coupling method, we establish convergence of the Markovian transition semi-group toward
Debussche, Arnaud, Odasso, Cyril
core   +2 more sources

Inverse scattering for the linear system associated with the coupled Gerdjikov-Ivanov equations

Electronic Journal of Differential Equations
We consider a certain first-order linear system of ordinary differential equations, and we analyze the direct and inverse scattering problems for that linear system.
Ramazan Ercan
doaj  

$L^{2}$-Sobolev space bijectivity and existence of global solutions for the matrix nonlinear Schrödinger equations [PDF]

We consider the Cauchy problem to the general defocusing and focusing $p\times q$ matrix nonlinear Schrödinger (NLS) equations with initial data allowing arbitrary-order poles and spectral singularities.
Li, Yuan, Fan, Engui, Liu, Xinhan
core   +1 more source

On the double critical p-fractional Schrödinger–Poisson system with electromagnetic fields in R3 ${\mathbb{R}}^{3}$

Advanced Nonlinear Studies
This paper investigates the existence and multiplicity of solutions to the following double critical p-fractional Schrödinger–Poisson system with electromagnetic fields in R3 ${\mathbb{R}}^{3}$ :ϵps−Δp,Aϵsu+V(x)|u|p−2u−ϕ|u|ps♯−2u=|u|ps*−2u+gx,|u|p|u|p−2u 
He Xian, Liang Sihua, Pucci Patrizia
doaj   +1 more source

Normalized solutions of Schrödinger equations involving Moser-Trudinger critical growth

Advances in Nonlinear Analysis
In this article, we are concerned with the nonlinear Schrödinger equation −Δu+λu=μ∣u∣p−2u+f(u),inR2,-\Delta u+\lambda u=\mu {| u| }^{p-2}u+f\left(u),\hspace{1em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}{{\mathbb{R}}}^{2}, having prescribed ...
Li Gui-Dong, Zhang Jianjun
doaj   +1 more source

Stability analysis and exploration of multiform soliton solutions for extended fractional NLS model using modified extended direct algebraic method. [PDF]

Sci Rep
Soliman M, Ramadan ME, Alkhatib S, Ahmed HM.   +3 more
europepmc   +1 more source

Optical and rogue type soliton solutions of the (2+1) dimensional nonlinear Heisenberg ferromagnetic spin chains equation. [PDF]

Sci Rep, 2023
Islam S, Halder B, Refaie Ali A.
europepmc   +1 more source