A5043947957- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Advanced Differential Equations and Dynamical Systems
- Advanced Mathematical Physics Problems
- Ultrasound and Cavitation Phenomena
- Fractional Differential Equations Solutions
- Differential Equations and Numerical Methods
- Quantum chaos and dynamical systems
- Numerical methods for differential equations
- Algebraic structures and combinatorial models
- Nonlinear Dynamics and Pattern Formation
- Advanced Fiber Laser Technologies
- Ultrasound and Hyperthermia Applications
- Fluid Dynamics and Mixing
- Quantum Mechanics and Non-Hermitian Physics
- nanoparticles nucleation surface interactions
- Ocean Waves and Remote Sensing
- Methane Hydrates and Related Phenomena
- Micro and Nano Robotics
- Photoacoustic and Ultrasonic Imaging
- Marine Invertebrate Physiology and Ecology
- Advanced Differential Geometry Research
- Mathematical Biology Tumor Growth
- Fluid Dynamics and Thin Films
- Elasticity and Wave Propagation
National Research University Higher School of Economics
2019-2024
Fundación Biofísica Bizkaia
2023-2024
Instituto Biofisika
2023-2024
Ikerbasque
2023-2024
University of the Basque Country
2023-2024
National Research Nuclear University MEPhI
2010-2019
Institute of Engineering Physics
2008-2009
Nonlinear waves in a liquid containing gas bubbles are considered the three-dimensional case. evolution equation is given for description of long nonlinear pressure waves. It shown that general case not integrable. Some exact solutions presented. Application Hirota method illustrated finding multi-soliton nonintegrable The stability one-dimensional solitary investigated. stable to transverse perturbations.
The Rayleigh equation for bubble dynamics is widely used. However, analytical solutions of this have not previously been obtained. Here we find closed-form general the both an empty and gas-filled spherical bubble. We present approach allowing us to construct exact equation. show that our are useful testing numerical algorithms.
We study nonlinear dynamics of two coupled contrast agents that are micrometer size gas bubbles encapsulated into a viscoelastic shell. Such used for enhancing ultrasound visualization blood flow and have other promising applications like targeted drug delivery noninvasive therapy. Here, we consider model such interacting via the Bjerknes force exposed to an external field. demonstrate in this five-dimensional dynamical system, various types complex can occur, namely, observe periodic,...