Results 61 to 70 of about 14,785 (196)
Perfectly invisible $\mathcal{PT}$-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry [PDF]
, 2017 We investigate a special class of the $\mathcal{PT}$-symmetric quantum models being perfectly invisible zero-gap systems with a unique bound state at the very edge of continuous spectrum of scattering states.
Guilarte, Juan Mateos +1 more
core +4 more sources
Journal of King Saud University - Science, 2021 Abstract This work searches for new soliton solutions to the Atangana-Baleanu (AB) fractional system of equations for the ion sound and Langmuir waves (ISALWs). A new auxiliary equation scheme (NAES) is implemented to solve this model with the aid of a symbolic software.
Rezazadeh, Hadi +4 more
openaire +2 more sources
Advancing Energy Materials by In Situ Atomic Scale Methods
Advanced Energy Materials, Volume 15, Issue 11, March 18, 2025.Progress in in situ atomic scale methods leads to an improved understanding of new and advanced energy materials, where a local understanding of complex, inhomogeneous systems or interfaces down to the atomic scale and quantum level is required. Topics from photovoltaics, dissipation losses, phase transitions, and chemical energy conversion are ...
Christian Jooss +21 more
wiley +1 more source
Optical waves solutions for the perturbed Fokas–Lenells equation through two different methods
Results in Physics, 2023 This study examines the perturbed Fokas–Lenells equation using two methods: the Bernoulli sub-equation function method and the 1/G′-expansion method.
Karmina K. Ali +3 more
doaj +1 more source
On the rotational symmetry of 3-dimensional $\kappa$-solutions [PDF]
, 2019 In a recent paper, Brendle showed the uniqueness of the Bryant soliton among 3-dimensional $\kappa$-solutions. In this paper, we present an alternative proof for this fact and show that compact $\kappa$-solutions are rotational symmetric. Our proof arose
Bamler, Richard H., Kleiner, Bruce
core +1 more source
Variational approach, soliton solutions and singular solitons for new coupled ZK system
Computers & Mathematics with Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
The Singularity Structure of a Soliton Solution to the Higher-Dimensional Einstein Equations [PDF]
Progress of Theoretical Physics, 1991 We study a stationary and axisymmetric solution to the higher-dimensional Einstein equations and investigate its singularity structure. The solution consists of two solitons in the four-dimensional part (i.e., the Kerr solution) and n solitons in the extra dimensions. Naked singularities appear on the symmetry axis (z-axis) and/or at the event horizons
Takahiro Azuma +2 more
openaire +1 more source
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
Instabilities of optical solitons and Hamiltonian singular solutions in a medium of finite extension [PDF]
Physical Review A, 2011 We analyze the role of soliton solutions and Hamiltonian singularities in the dynamics of counterpropagating waves in a medium of finite spatial extension. The soliton solution can become unstable due to the finite extension of the system. We show that the spatiotemporal dynamics then relaxes toward a Hamiltonian singular state of a nature different ...
Assemat, E. +3 more
openaire +2 more sources
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 +3 more
wiley +1 more source