Results 281 to 290 of about 487,826 (340)
Some of the next articles are maybe not open access.
Algebraic Traveling Wave Solutions, Darboux Polynomials and Polynomial Solutions
Qualitative Theory of Dynamical Systems, 2017A traveling wave solution \(u= U(x-ct)\) of a partial differential equation \(u_{xx}= F(u,u_x,u_t)\) is called an algebraic traveling wave solution if there exists a polynomial \(p\) such that \(p(U,U')= 0\). The author completely characterizes the existence of algebraic traveling wave solutions of the partial differential equation \[ u_t= du_{xx}- a(u-
openaire +2 more sources
A New Integrable Hierarchy, Parametric Solutions and Traveling Wave Solutions
Mathematical Physics, Analysis and Geometry, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiao, Zhijun, Li, Shengtai
openaire +1 more source
International Journal of Bifurcation and Chaos, 2019
For a singular nonlinear traveling wave system of the first class, if there exist two node points of the associated regular system in the singular straight line, then the dynamics of the solutions of the singular system will be very complex. In this paper, two representative nonlinear traveling wave system models (namely, the traveling wave system of ...
Jibin Li, Guanrong Chen, Shengfu Deng
openaire +2 more sources
For a singular nonlinear traveling wave system of the first class, if there exist two node points of the associated regular system in the singular straight line, then the dynamics of the solutions of the singular system will be very complex. In this paper, two representative nonlinear traveling wave system models (namely, the traveling wave system of ...
Jibin Li, Guanrong Chen, Shengfu Deng
openaire +2 more sources
TRAVELING WAVE SOLUTIONS OF THE GREEN–NAGHDI SYSTEM
International Journal of Bifurcation and Chaos, 2013We investigate the traveling wave solutions of the Green–Naghdi system. Using the qualitative analysis methods of planar autonomous systems, we show not only its phase portraits but also the exact expressions of some bounded wave solutions. These results are a complement of the work by Deng et al.
Deng, Shengfu +2 more
openaire +2 more sources
Traveling-wave-type gravitational soliton solutions
International Journal of Theoretical Physics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Exact Traveling‐Wave Solutions for Model Geophysical Systems
Studies in Applied Mathematics, 1990Exact traveling‐wave solutions of time‐dependent nonlinear inhomogeneous PDEs, describing several model systems in geophysical fluid dynamics, are found. The reduced nonlinear ODEs are treated as systems of linear algebraic equations in the derivatives. A variety of solutions are found, depending on the rank of the algebraic systems.
Sachdev, P. L., Gupta, Neelam
openaire +2 more sources
Traveling Wave Solutions of Parabolic Systems
1994Part I. Stationary waves: Scalar equation Leray-Schauder degree Existence of waves Structure of the spectrum Stability and approach to a wave Part II. Bifurcation of waves: Bifurcation of nonstationary modes of wave propagation Mathematical proofs Part III.
Aizik Volpert +2 more
openaire +1 more source
Dynamical Behavior of Traveling Wave Solutions for a (2+1)-Dimensional Bogoyavlenskii Coupled System
, 2021T. Leta +4 more
semanticscholar +1 more source