Sharp Upper Bound for Amplitudes of Finite‐Gap Solutions of the Modified Korteweg‐de Vries Equation
ABSTRACT A sharp upper bound is established for the amplitudes of finite‐gap solutions of the focusing modified Korteweg–de Vries equation. The proof shows that the optimization can be carried out entirely within the finite‐dimensional hierarchy, without explicit integration of the finite‐gap solution. The maximal amplitude is expressed in terms of the
Otis C. Wright III
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A comprehensive analytical study of solitons and nonlinear dynamics in a concatenated DNLS-type model. [PDF]
Farooq FB +4 more
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SUMMARY KNOX (KNOTTED1‐like HOMEOBOX) transcription factors regulate the expression of genes involved in plant growth, development, and immunity by specifically binding to DNA elements. Previously, we found that the Phytophthora infestans RxLR effector Pi22798 targets the potato transcription factor StKNOX3 to promote colonization.
Jing Zhou +10 more
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Soliton dynamics and stability in resonant nonlinear Schrödinger systems with cubic quintic effects via enhanced modified extended tanh function method. [PDF]
Tarek A, Ahmed HM, Badra N, Samir I.
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A new approach for the analysis of evolution partial differential equations on a finite interval
Abstract We show that, for certain evolution partial differential equations, the solution on a finite interval (0,ℓ)$(0,\ell)$ can be reconstructed as a superposition of restrictions to (0,ℓ)$(0,\ell)$ of solutions to two associated partial differential equations posed on the half‐lines (0,∞)$(0,\infty)$ and (−∞,ℓ)$(-\infty,\ell)$.
Türker Özsarı +2 more
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Stability of Rayleigh-Jeans Equilibria in the Kinetic FPU Equation. [PDF]
Germain P, La J, Menegaki A.
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Importin α3 Is Tolerant to Nuclear Localization Signal Chirality. [PDF]
Hornos F, Rizzuti B, Neira JL.
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One Dimensional Energy Cascades in a Fractional Quasilinear NLS. [PDF]
Maspero A, Murgante F.
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Velocity-Aided Navigation in GNSS-Denied Environments. [PDF]
Avrutov V +5 more
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Transcriptional regulation of telomeric repeat-containing RNA by the G-quadruplex-binding Ewing sarcoma protein. [PDF]
Ulum LL +6 more
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