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Renormalization and Quantum Correction of Soliton Solutions [PDF]
Progress of Theoretical Physics, 1980 Summary: The renormalization procedure for soliton solutions in quantum systems in the framework of canonical formalism of quantum field theory is formulated. The steps of the calculation are put in a systematic form and a detailed account of each step is given. It is shown that further renormalization is not needed in the presence of solitons; one can
Semenoff, G., Matsumoto, H., Umezawa, H.
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Advanced Science, EarlyView.An electro‐templating strategy directs the relaxation of cholesteric finger loops into discrete concentric rings whose geometry is electrically programmed. The photopolymerized structures retain the topological defect pattern and, upon heating, show reversible, castle‐like surface modulation.
Jacques A. Peixoto +4 more
wiley +1 more source
Embedded Soliton Solutions: A Variational Study
Acta Physica Polonica A, 2008 We use a variational method to construct soliton solutions for systems characterized by opposing dispersion and competing nonlinearities at fundamental and second harmonics. We show that both ordinary and embedded solitons tend to gain energy when the second harmonic field becomes weaker than the first harmonic field.
Pal, Debabrata +2 more
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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
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Bright Soliton Solution of (1+1)-Dimensional Quantum System with Power-Law Dependent Nonlinearity
Advances in Mathematical Physics, 2019 We study the nonlinear dynamics of (1+1)-dimensional quantum system in power-law dependent media based on the nonlinear Schrödinger equation (NLSE) incorporating power-law dependent nonlinearity, linear attenuation, self-steepening terms, and third-order
Yukun Zhao +4 more
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InfoScience, EarlyView.With the advancement of 6G communications, high‐precision radar, and advanced imaging technologies, there is a growing demand for compact, high‐performance light sources capable of generating high‐frequency radio waves (millimeter‐wave and terahertz waves). This article systematically introduces how to efficiently generate these high‐frequency waves on
Jianfeng Xiong +8 more
wiley +1 more source
Laser &Photonics Reviews, EarlyView.Optical limiting in a nanomaterial‐polymer saturable absorber is harnessed as a functional intracavity degree of freedom, where pump‐controlled photothermal loss continuously reshapes the gain spectrum of rare‐earth ions, enabling non‐mechanical spectral engineering in an ultrafast fiber laser.
Maolin Dai +4 more
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Variational approach for time-space fractal Bogoyavlenskii equation
Alexandria Engineering JournalIn this paper, we apply the variational approach for solving the time-space fractal Bogoyavlenskii equation. By the two-scale fractal complex transformation, the fractal modification of Bogoyarlenskii equation is equivalently rewritten as the original ...
Junfeng Lu, Shaowei Shen, Lei Chen
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Results in Physics, 2020 The fractional double function method has been proposed to derive fractional soliton solutions and other fractional solutions of fractional nonlinear models.
Yi-Xiang Chen, Xiao Xiao, Zhen-Lin Mei
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Soliton solutions for fractional Schrödinger equations
Applied Mathematics Letters, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Quanqing Li, Xian Wu 0002
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