On real and imaginary roots of generalised Okamoto polynomials
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract Recently, B. Yang and J. Yang derived a family of rational solutions to the Sasa–Satsuma equation, and showed that any of its members constitutes a partial‐rogue wave provided that an associated generalised Okamoto polynomial has no real roots or no imaginary roots.
Pieter Roffelsen, Alexander Stokes
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Construction of blow‐up solutions for Liouville systems
Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.Abstract We study the following Liouville system defined on a flat torus −Δui=∑j=1naijρjhjeuj∫Ωhjeuj−1,uj∈Hper1(Ω)fori∈I={1,…,n},$$\begin{equation*} {\left\lbrace \def\eqcellsep{&}\begin{array}{lr}-\Delta u_i=\sum _{j=1}^n a_{ij}\rho _j{\left(\frac{h_j e^{u_j}}{\int _\Omega h_j e^{u_j}}-1\right)},\\[3pt] u_j\in H_{per}^1(\Omega)\mbox{ for }i\in I ...
Zetao Cheng, Haoyu Li, Lei Zhang
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Machine Learning Investigation of Ternary-Hybrid Radiative Nanofluid over Stretching and Porous Sheet. [PDF]
Nanomaterials (Basel)Qureshi H, Zubair M, Altmeyer SA.
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ANN-based thermal analysis of 3D MHD hybrid nanofluid flow over a shrinking sheet via LMA. [PDF]
Sci RepImran M +5 more
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Insights from Atangana-Baleanu fractional derivatives modeling of influenza epidemics and sensitivity analysis. [PDF]
Sci RepAsif M +4 more
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Deterministic and fractional-order modeling of measles dynamics with harmonic mean incidence rate and quarantine impact. [PDF]
Sci RepKhan R +4 more
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Mathematical modeling of tuberculosis using Caputo fractional derivative: a comparative analysis with real data. [PDF]
Sci RepBhatter S +3 more
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Description of chemical systems by means of response functions. [PDF]
J Math BiolFranco E, Kepka B, Velázquez JJL.
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