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The regularity of the multiple higher‐order poles solitons of the NLS equation
Studies in applied mathematics (Cambridge), 2020Based on the inverse scattering method, the formulae of one higher‐order pole solitons and multiple higher‐order poles solitons of the nonlinear Schrödinger equation (NLS) equation are obtained. Their denominators are expressed as det(I+Ω∗Ω) , where Ω is
Yongshuai Zhang +3 more
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Applied Physics Letters, 2018
HfO2-based ferroelectrics (FE-HfO2) have shown promise as an emerging 1-T (single-transistor) non-volatile memory candidate because of its attractive features, such as CMOS compatibility, scalability, fast switching speed, low power, and long retention ...
Nanbo Gong +5 more
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HfO2-based ferroelectrics (FE-HfO2) have shown promise as an emerging 1-T (single-transistor) non-volatile memory candidate because of its attractive features, such as CMOS compatibility, scalability, fast switching speed, low power, and long retention ...
Nanbo Gong +5 more
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Information Processing Letters, 1991
Abstract We introduce a new nondeterministic oracle model. Our model is significantly different from all previous space-bounded oracle models, and has the following properties: First, it permits a nontrivial NL-hierarchy, which does not collapse without a similar consequence for the polynomial-time hierarchy. This is immediate from the result that
Jianer Chen, James L. Cox, Bud Mishra
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Abstract We introduce a new nondeterministic oracle model. Our model is significantly different from all previous space-bounded oracle models, and has the following properties: First, it permits a nontrivial NL-hierarchy, which does not collapse without a similar consequence for the polynomial-time hierarchy. This is immediate from the result that
Jianer Chen, James L. Cox, Bud Mishra
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New Exact Solutions to NLS Equation and Coupled NLS Equations
Communications in Theoretical Physics, 2004A transformation is introduced on the basis of the projective Riccati equations, and it is applied as an intermediate in expansion method to solve nonlinear Schrodinger (NLS) equation and coupled NLS equations. Many kinds of envelope travelling wave solutions including envelope solitary wave solution are obtained, in which some are found for the first ...
Liu Shi-Da, Fu Zun-Tao, Liu Shi-Kuo
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The unit balls of ℒ(nl∞m) and ℒs(nl∞m)
Studia Scientiarum Mathematicarum Hungarica, 2020AbstractFor n,m≥ 2 this paper is devoted to the description of the sets of extreme and exposed points of the closed unit balls of and , where is the space of n-linear forms on with the supremum norm, and is the subspace of consisting of symmetric n-linear forms. First we classify the extreme points of the unit balls of and , respectively. We show
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