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

Short link to this page: https://gdeq.org/SIJSK70

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

Edited by Valentin Lychagin, Volodya Roubtsov, Alexander Verbovetsky, and Raffaele Vitolo

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• 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