Construction of particular solutions to nonlinear equations of Mathematical Physics by using matrix algebraic equation
A. I. Zenchuk
Abstract
The paper develops the method for construction of the families of particular solutions to the nonlinear Partial Differential Equations (PDE) without relation to the complete integrability. Method is based on the specific link between algebraic matrix equations and PDE. Example of (2+2)-dimensional generalization of Burgers equation is given.
Create a lesson
Related papers
Long-time asymptotics for the focusing coupled Kundu-Eckhaus equation
Tianwei Qiu, Zhen Wang
Higher-order semi-rational solutions of the (2+1)-dimensional nonlocal multi-component Yajima--Oikawa system
Wenqiang Lu, Kelei Tian, Ying Xu et al.
On equivalence between solution structures of the anti-self-dual Yang--Mills equations
Shangshuai Li
Nonlinear Spectral Computing
Ludovica Falsi, Francesco Coppini, Claudio Conti
The Riemann theta function near soliton limit
Yuji Kodama
Correlation functions of the 19-vertex IRF model and its integrable quantum spin-1 chain
T. S. Tavares, H. B. Abreu, G. A. P. Ribeiro