Special Issue in honour of Joseph Krasil'shchik 70th birthday

This is a special collection of articles arising from the Conference "Local and Nonlocal Geometry of PDEs and Integrability" (8-12 October 2018, SISSA, Trieste, Italy) dedicated to the 70th birthday of Joseph Krasil'shchik

About this Special Issue

by Volodya Rubtsov, JGP Editor

All papers for the Special Issue in honour of Joseph Krasil'shchik 70th birthday which you can see on this page are published in the "Journal of Geometry and Physics" in 2019-2020. Usually, the Journal never publishes any Proceedings of Conferences and Workshops and accepts a publication of Special Issues in a form of "regular" articles along with the dates of its submissions. This papers pass the usual peer-reviewing process under the standards of the Journal. Special invited Guest Editors (together with one of Managing Editors of the JGP) are participate in the evaluation and handling process.

This Special Issue were prepared by the Guest Editors Valentin Lychagin, Alik Verbovetsky, Rafaelle Vitolo, and myself. The subject of it ("Geometry and Integrability of PDE's") is one of the most important and popular in the wide spectrum of the Journal optic.

My dear friend professor Joseph Krasil'shchik invested a lot both in this scientific area and, in particular, in the popularization of this direction in the JGP. He is not only an active author of many interesting and valuable articles published in the JGP, but also he was the Guest Editor of three Special Issues. Joseph is always careful and reliable referee. His serious and detailed reports helped a lot to the Editors in their decision, but in the same time are very helpful to the authors, especially, to young and novices.

I wish you, my dear Joseph, long life, excellent health and new wonderful results and beautiful papers (which, I hope, you will publish in our Journal!)

---

• Shortest and Straightest geodesics in Sub-Riemannian Geometry

  Dmitri Alekseevsky

  J. Geom. Phys. 155 (2020), 103713, arXiv:1909.08275

• On symmetries of the Gibbons-Tsarev equation

  Hynek Baran, Petr Blaschke, Joseph Krasil'shchik, and Michal Marvan

  J. Geom. Phys. 144 (2019), 54-80, arXiv:1811.08199

• On the Geometry of Twisted Symmetries: Gauging and Coverings

  Diego Catalano Ferraioli and Giuseppe Gaeta

  J. Geom. Phys. 151 (2020), 103620, arXiv:2002.02269

• Invertible linear ordinary differential operators and their generalizations

  Vladimir Chetverikov

  J. Geom. Phys. 151 (2020), 103617

• Einstein Metrics, Projective Structures and the $SU(\infty )$Toda equation

  Maciej Dunajski and Alice Waterhouse

  J. Geom. Phys. 147 (2020), 103523, arXiv:1906.11570

• Lie remarkable partial differential equations characterized by Lie algebras of point symmetries

  Matteo Gorgone and Francesco Oliveri

  J. Geom. Phys. 144 (2019), 314-323, arXiv:2108.02171

• Integrable hierarchies in the $\mathbb {N} \times \mathbb {N}$-matrices related to powers of the shift operator

  Gerard Helminck and Jeffrey Weenink

  J. Geom. Phys. 148 (2020), 103560

• On Lie algebras responsible for integrability of (1+1)-dimensional scalar evolution PDEs

  Sergei Igonin and Gianni Manno

  J. Geom. Phys. 150 (2020), 103596, arXiv:1810.09280

• Thick morphisms of supermanifolds, quantum mechanics, and spinor representation

  Hovhannes Khudaverdian and Theodore Voronov

  J. Geom. Phys. 148 (2020), 103540, arXiv:1909.00290

• Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation

  Joseph Krasil'shchik, Oleg Morozov, and Petr Vojčák

  J. Geom. Phys. 146 (2019), 103519, arXiv:1902.09341

• Exact solutions of the Burgers-Huxley equation via dynamics

  Alexei Kushner and Ruslan Matviichuk

  J. Geom. Phys. 151 (2020), 103615

• Weakly nonlocal Poisson brackets, Schouten brackets and supermanifolds

  Paolo Lorenzoni and Raffaele Vitolo

  J. Geom. Phys. 149 (2020), 103573, arXiv:1909.07695

• Phase transitions in filtration of Redlich-Kwong gases

  Valentin Lychagin and Mikhail Roop

  J. Geom. Phys. 143 (2019), 33-40, arXiv:1904.04778

• On equivalence of third order linear differential operators on two-dimensional manifolds

  Valentin Lychagin and Valeriy Yumaguzhin

  J. Geom. Phys. 146 (2019), 103507, arXiv:1904.08664

• (Super-)integrable systems associated to 2-dimensional projective connections with one projective symmetry

  Gianni Manno and Andreas Vollmer

  J. Geom. Phys. 145 (2019), 103476, arXiv:1905.01396

• Classification of integrable vector equations of geometric type

  Anatoly Meshkov and Vladimir Sokolov

  J. Geom. Phys. 149 (2020), 103581, arXiv:1904.09351

• Lax representations with non-removable parameters and integrable hierarchies of PDEs via exotic cohomology of symmetry algebras

  Oleg Morozov

  J. Geom. Phys. 143 (2019), 150-163, arXiv:1904.00259

• Soliton transmutations in KdV-Burgers layered media

  Alexey Samokhin

  J. Geom. Phys. 148 (2020), 103547, arXiv:1907.10489

• Haantjes algebras and diagonalization

  Piergiulio Tempesta and GiorgioTond

  J. Geom. Phys. 160 (2021), 103968, arXiv:1710.04522

• On inverse variational problem for one class of quasilinear equations

  Dmitry Tunitsky

  J. Geom. Phys. 148 (2020), 103568

• Symmetries and conservation laws for a generalization of Kawahara equation

  Jakub Vašícek

  J. Geom. Phys. 150 (2020), 103579, arXiv:1810.02863