Results 71 to 80 of about 2,507 (215)
In this paper, the cubic–quartic complex Ginzburg–Landau (CGL) equation is investigated by using the trial function method. The traveling wave hypothesis is applied to convert the CGL equation to an ordinary differential equation (ODE), which is ...
Chen Peng, Zhao Li
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Some stability results for the complex Ginzburg–Landau equation [PDF]
Using some classical methods of dynamical systems, stability results and asymptotic decay of strong solutions for the complex Ginzburg–Landau equation (CGL), [Formula: see text] with [Formula: see text], are obtained. Moreover, we show the existence of bound-states under certain conditions on the parameters and on the domain. We conclude with the proof
Correia, Simão, Figueira, Mário
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A bioinspired strain‐adaptive ligament‐bone architecture achieves record‐high energy density of 26.1 J cm−3 and 90% efficiency at 600 MV m−1, coupled with a Young's modulus of 2.13 GPa. ABSTRACT Polymer dielectrics for capacitive energy storage face fundamental trade‐offs between breakdown strength, energy density, efficiency, and mechanical robustness.
Jian Wang +6 more
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In this study, the exact traveling wave solutions of the time fractional complex Ginzburg-Landau equation with the Kerr law and dual-power law nonlinearity are studied.
Zhao Li, Tianyong Han
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A CMOS‐compatible ferroelectric transistor harnesses the interplay between stable gate polarization memory and volatile non‐quasi‐static channel charge dynamics to emulate how biological synapses regulate their own plasticity. This brain‐inspired dual‐memory mechanism, realized in a single device, enables a physical reservoir computer that solves ...
Yifan Wang +8 more
wiley +1 more source
Dissipative localised structures for the complex Discrete Ginzburg-Landau equation
The discrete complex Ginzburg-Landau equation is a fundamental model for the dynamics of nonlinear lattices incorporating competitive dissipation and energy gain effects.
Hennig, Dirk +2 more
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The Jacobian elliptic function expansion method is modified by considering conformable fractional derivative and applying a lot of relations among Jacobian elliptic functions.
Jia-Jie Fang +5 more
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Advancing Energy Materials by In Situ Atomic Scale Methods
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
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The Inviscid Limit of the Complex Ginzburg–Landau Equation
The paper deals with the complex two-parameter Ginzburg-Landau equation. If both parameters are equal to zero, then this equation formally becomes the nonlinear Schrödinger equation. The author investigates the problem whether the solution of the Ginzburg-Landau equation tends to the solution of the Schrödinger equation.
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Long‐Range Interactions in Topological Superconducting Systems: A Mini Review
Long‐range interacting quantum systems are surveyed in this review, with an emphasis on the long‐range topological superconductor and its variants. Long‐range interactions decaying in a power‐law manner can lead to exotic phenomena that finds no analogue in short‐range regimes.
Juntong Ren, Haifeng Lü
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