Results 51 to 60 of about 118,300 (223)

Twist Engineering of Hybrid 2D van der Waals‐Transition Metal Oxide Membranes

Advanced Physics Research, EarlyView.
The integration of transition metal oxide membranes with 2D van der Waals materials offers exciting opportunities to study new interfacial phenomena. These interactions can create complex moiré patterns that change the materials' properties. Understanding these interactions, influenced by symmetry and distortion, poses significant challenges and ...
Mar Garcia Hernandez, Peter Bøggild, Mads Brandbyge, Jacobo Santamaria, Nini Pryds   +4 more
wiley   +1 more source

Construction of multi-solitons for the energy-critical wave equation in dimension 5

, 2015
We construct 2-solitons of any speed of the focusing energy-critical nonlinear wave equation in dimension 5. The existence result also holds for the case of K-solitons, for any K >2, assuming that the speeds are collinear.
Martel, Yvan, Merle, Frank
core   +3 more sources

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

Optical solitons for the concatenation model with fractional temporal evolution

Ain Shams Engineering Journal
This paper recovers the optical solitons for the concatenation model that comes with fractional temporal evolution and Kerr–law of self–phase modulation by the usage of the enhanced direct algebraic approach.
Ahmed H. Arnous, Muhammad Amin S. Murad, Anjan Biswas, Yakup Yildirim, Puiu Lucian Georgescu, Luminita Moraru, Anwar Jaafar Mohamad Jawad, Layth Hussein   +7 more
doaj   +1 more source

New optical solitons of perturbed nonlinear Schrödinger–Hirota equation with spatio-temporal dispersion

Results in Physics, 2021
The perturbed nonlinear Schrödinger–Hirota equation with spatio-temporal dispersion (PNSHE-STD) which governs the propagation of dispersive pulses in optical fibers, is investigated in this study using an improved Sardar sub-equation method. The Kerr and
Lanre Akinyemi, Hadi Rezazadeh, Qiu-Hong Shi, Mustafa Inc, Mostafa M.A. Khater, Hijaz Ahmad, Adil Jhangeer, M. Ali Akbar   +7 more
doaj   +1 more source

A Potential of Incoherent Attraction Between Multidimensional Solitons

, 1998
We obtain analytical expressions for an effective potential of interaction between two- and three-dimensional (2D and 3D) solitons (including the case of 2D vortex solitons) belonging to two different modes which are incoherently coupled by cross-phase ...
Afanasjev, Agrawal, Andrey Maimistov, Anton Desyatnikov, Boris Malomed, Desyatnikov, Firth, Gorshkov, Królikowski, Lawrence, Malomed, Malomed, Malomed, Malomed, Meng, Pelinovsky, Pelinovsky, Petrov, Quiroga-Teixeiro, Shih, Silberberg, Steblina   +21 more
core   +2 more sources

Analytic theory of narrow lattice solitons [PDF]

, 2008
The profiles of narrow lattice solitons are calculated analytically using perturbation analysis. A stability analysis shows that solitons centered at a lattice (potential) maximum are unstable, as they drift toward the nearest lattice minimum.
Ablowitz M J, Christodoulides D N, Fukuizumi R, Fukuizumi R, Fukuizumi R, G Fibich, Joannopoulos J J, Le-Coz S, Lehoucq R B, Lin T C, Malomed B A, N K Efremidis, S Bar-Ad, Sivan Y, Sulem C, Trefethen L N, Vakhitov N G, Weinstein M I, Y Sivan   +18 more
core   +2 more sources

Glueball solitons [PDF]

Physical Review D, 1986
From the effective action of long-range Yang-Mills theory, we derive a classical spherical solution which can be interpreted as a glueball. The field configurations in the gauge we have used describe a system with one unit of color-electric flux crossing any median plane, and thus can be regarded as two gluons bound together.
Baker, M., Ball, J. S., Chen, F. Z., Zachariasen, F.   +3 more
openaire   +3 more sources

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Emergence of Solitons from Irregular Waves in Deep Water

Journal of Marine Science and Engineering, 2021
Numerical simulations were performed to study the long-distance evolution of irregular waves in deep water. It was observed that some solitons, which are the theoretical solutions of the nonlinear Schrödinger equation, emerged spontaneously as irregular ...
Weida Xia, Yuxiang Ma, Guohai Dong, Jie Zhang, Xiaozhou Ma   +4 more
doaj   +1 more source