Opening

Water waves over a variable bottom and soliton propagation

• Rossen Ivanov

Nonlinear evolution of black holes in modified theories of gravity

• Daniela Doneva

Application of equivariant transformations in neural networks to classification of galaxy images

• Stoyan Mishev

Solving differential equations with physics informed neural networks

• Stoytcho Yazadjiev

Period variability of cataclysmic star AM Herculus. New photometric observations.

• Rumen Bogdanovski and Nikola Antonov

General discussion

Polynomial Lax pairs with a Coxeter reduction

• Alexander Stefanov

Singularity analysis and bilinear approach to some Bogoyavlensky equations

• Adrian Stefan Carstea

Irreversibility and dynamics of quantum correlations in open quantum systems

• Aurelian Isar

Dynamics of strongly coupled harmonic oscillators in Gaussian noisy channels

• Tatiana Mihaescu

Mathematical Analysis of the Van der Waals Equation

• Emil Prodanov

General discussion

Riemann–Hilbert Problems and Integrable Equations

• Vladimir Gerdjikov

Chaffee-Infante type equations with given classes of solutions

• Radu Constantinescu

On the N-wave hierarchy with constant boundary conditions

• Georgi Grahovski

Contact Hamilton-Jacobi equations and consistency of strong SRRT inflation

• Mirela Babalic

Generalized Dodd-Bullough-Mikhailov equations with given classes of solutions

• Alina-Maria Pauna

The Lagrangian approach to modelling waves with a linear current component

• Conor Curtin

General Discussion

Reparametrization Invariance and Its Relation to the Dark Energy and Dark Matter Phenomena

• Vesselin Gueorguiev

Photon spheres

• Stoytcho Yazadjiev

Images of a thin accretion disk around Kerr Black Hole with synchronized scalar hair

• Galin Gyulchev

Beam parameters estimation with machine learn- ing from incomplete data sets

• Svetoslav Ivanov

Applicability evaluation of selected xAI methods for machine learning algorithms for signal parameters extraction

• Калина Dimitrova

An integral formula, with an application to differential equations

• Lubomir Markov

General Discussion

On a Method for Solving of Equations of Mathematical Physics in Multidimension

• Michail Todorov

Variational Method for Inverse Problems in Identifying Solitary-Wave Solutions

• Rossitza Marinova

Application of Soliton Theory in Business Process Analysis

• Antonina Ivanova

Approximate solutions to ordinary differential equations using neural networks and Monte Carlo

• Hristo Vekov

Application of machine learning methods to predict and analyze the condition of rolling bearings

• Atanas Kolev

Closing