Exact Travelling Wave Solutions of Some Nonlinear Nonlocal Evolutionary Equations
Vsevolod A. Vladimirov, Ekaterina V. Kutafina
Abstract
Direct algebraic method of obtaining exact solutions to nonlinear PDE's is applied to certain set of nonlinear nonlocal evolutionary equations, including nonlinear telegraph equation, hyperbolic generalization of Burgers equation and some spatially nonlocal hydrodynamic-type model. Special attention is paid to the construction of the kink-like and soliton-like solutions.
Create a lesson
Related papers
Finite temperature Fredholm determinants for dynamical correlation functions
Oleksandr Gamayun
Inverse eigenvalue problem for discrete three-diagonal Schroedinger operator and the continuum limit in Tikhonov regularization approach
Vladimir M. Chabanov
Haagerup-Izumi modular data from hyperbolic words: S-fold TQFTs, central charge, torsion and the Bethe vacua
David E Evans
Spectral Theory of an Exactly Solvable Quantum-Optical Oscillator
Sam Johar, Joseph Kraisler
Dynamical BEC formation and vanishing entropy for trapped bosons in non-relativistic QED via nonlinear resonance cascades
Thomas Chen, Ali Mezher
Dynamics of low energy wave packets in the one-dimensional quantum Heisenberg ferromagnet
Mateusz Kwaśnicki, Marcin Napiórkowski, Sören Petrat et al.