Kink soliton solution of integrable Kairat-X equation via two integration algorithms
AIMS MathematicsIn order to establish and assess the dynamics of kink solitons in the integrable Kairat-X equation, which explains the differential geometry of curves and equivalence aspects, the present investigation put forward two variants of a unique transformation ...
Raed Qahiti +3 more
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Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation
Communications on Pure and Applied Mathematics, EarlyView.Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
wiley +1 more source
On Determining the Growth of Meromorphic Solutions of Algebraic Differential Equations Having Arbitrary Entire Coefficients [PDF]
, 1973 Steven B. Bank
openalex +1 more source
Communications on Pure and Applied Mathematics, EarlyView.Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun +2 more
wiley +1 more source
On meromorphic solutions of generalized algebraic differential equations [PDF]
, 1971 Chung-Chun Yang
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On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas
Contributions to Plasma Physics, EarlyView.ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias +2 more
wiley +1 more source
On the Growth of Solutions of Algebraic Differential Equations Whose Coefficients are Arbitrary Entire Functions [PDF]
, 1970 Steven B. Bank
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Short Wavelength Limit of the Dynamic Matsubara Local Field Correction
Contributions to Plasma Physics, EarlyView.ABSTRACT We investigate the short wavelength limit of the dynamic Matsubara local field correction G˜q,zl$$ \tilde{G}\left(\mathbf{q},{z}_l\right) $$ of the uniform electron gas based on direct ab initio path integral Monte Carlo (PIMC) results over an unprecedented range of wavenumbers, q≲20qF$$ q\lesssim 20{q}_{\mathrm{F}} $$, where qF$$ {q}_{\mathrm{
Tobias Dornheim +3 more
wiley +1 more source
A representation theorem for large and small analytic solutions of algebraic differential equations in sectors [PDF]
, 1971 Steven B. Bank
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Dynamic Properties of the Warm Dense Uniform Electron Gas With the qSTLS Dielectric Scheme
Contributions to Plasma Physics, EarlyView.ABSTRACT The recently derived Fourier–Matsubara expansion of imaginary–time correlation functions comprises an exact result of linear response theory for finite‐temperature quantum many‐body systems. In its density–density version, the expansion facilitates systematic comparisons between quasi‐exact ab initio path integral Monte Carlo simulations and ...
Panagiotis Tolias +3 more
wiley +1 more source