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Axioms | Hot Papers in the “Mathematical Physics” Section

9 December 2025

“Mathematical Physics” is a Section of the journal Axioms (ISSN: 2075-1680), which publishes original papers of high scientific value in all fields of classical and modern analysis, with a focus on original work that addresses significant problems in pure and applied nonlinear analysis. You are welcome to read and share the following papers for free. We hope they will be helpful for your research.

1. “Lax Pairs for the Modified KdV Equation”
by Georgy I. Burde
Axioms 2024, 13(2), 121; https://doi.org/10.3390/axioms13020121  
Available online: https://www.mdpi.com/2075-1680/13/2/121

2. “Static Spherically Symmetric Perfect Fluid Solutions in Teleparallel F(T) Gravity”
by Alexandre Landry
Axioms 2024, 13(5), 333; https://doi.org/10.3390/axioms13050333  
Available online: http://www.mdpi.com/2075-1680/13/5/333

3. “Oscillatory Behavior of the Solutions for a Parkinson’s Disease Model with Discrete and Distributed Delays”
by Chunhua Feng
Axioms 2024, 13(2), 75; https://doi.org/10.3390/axioms13020075
Available online: http://www.mdpi.com/2075-1680/13/2/75

4. “Entropy of Difference: A New Tool for Measuring Complexity”
by Pasquale Nardone and Giorgio Sonnino
Axioms 2024, 13(2), 130; https://doi.org/10.3390/axioms13020130
Available online: http://www.mdpi.com/2075-1680/13/2/130

5. “Double-Step Shape Invariance of Radial Jacobi-Reference Potential and Breakdown of Conventional Rules of Supersymmetric Quantum Mechanics”
by Gregory Natanson
Axioms 2024, 13(4), 273; https://doi.org/10.3390/axioms13040273
Available online: http://www.mdpi.com/2075-1680/13/4/273

6. “An Extended Thermodynamics Study for Second-Grade Adiabatic Fluids”
by Elvira Barbera and Claudia Fazio
Axioms 2024, 13(4), 265; https://doi.org/10.3390/axioms13040265
Available online: http://www.mdpi.com/2075-1680/13/4/265

7. “Biequivalent Planar Graphs”
by Bernard Piette
Axioms 2024, 13(7), 437; https://doi.org/10.3390/axioms13070437
Available online: http://www.mdpi.com/2075-1680/13/7/437

8. “Analyzing Richtmyer–Meshkov Phenomena Triggered by Forward-Triangular Light Gas Bubbles: A Numerical Perspective”
by Satyvir Singh and Ahmed Hussein Msmali
Axioms 2024, 13(6), 365; https://doi.org/10.3390/axioms13060365
Available online: http://www.mdpi.com/2075-1680/13/6/365

9. “Pole Analysis of the Inter-Replica Correlation Function in a Two-Replica System as a Binary Mixture: Mean Overlap in the Cluster Glass Phase”
by Hiroshi Frusawa
Axioms 2024, 13(7), 468; https://doi.org/10.3390/axioms13070468
Available online: http://www.mdpi.com/2075-1680/13/7/468

10. “On a Stability of Non-Stationary Discrete Schemes with Respect to Interpolation Errors”
by Raimondas Čiegis, Olga Suboč and Remigijus Čiegis
Axioms 2024, 13(4), 244; https://doi.org/10.3390/axioms13040244
Available online: http://www.mdpi.com/2075-1680/13/4/244