Results 251 to 260 of about 136,660 (285)

Smooth Exact Traveling Wave Solutions Determined by Singular Nonlinear Traveling Wave Systems: Two Models

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
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TRAVELING WAVE SOLUTIONS OF THE GREEN–NAGHDI SYSTEM

International Journal of Bifurcation and Chaos, 2013
We 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, Guo, Boling, Wang, Tingchun   +2 more
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Traveling-wave-type gravitational soliton solutions

International Journal of Theoretical Physics, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exact Traveling‐Wave Solutions for Model Geophysical Systems

Studies in Applied Mathematics, 1990
Exact 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
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Traveling Wave Solutions of Parabolic Systems

1994
Part 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, Vitaly Volpert, Vladimir Volpert   +2 more
openaire   +1 more source

Analytic approximations of travelling wave solutions

Applicable Analysis, 1994
A method based on differential inequalities and the maximum principle is developed to construct analytic approdimations of travelling wave solutions of certain reaction–diffusion equations arising in biology. The approximations are asymptotic in the sense that they converge to the unique travelling wave on the real line as the wave speed goes to ...
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Exact traveling wave solutions for two prolific conformable M-Fractional differential equations via three diverse approaches

Results in Physics, 2021
Imran Siddique, Asim Zafar, Adel Elmandouh   +2 more
exaly  

Traveling- Wave Solutions

1998
openaire   +1 more source

The tanh method for traveling wave solutions of nonlinear equations

Applied Mathematics and Computation, 2004
Abdul Majid Wazwaz
exaly  

Exact traveling wave solutions to the (3+1)-dimensional mKdV–ZK and the (2+1)-dimensional Burgers equations via exp(−Φ(η))-expansion method

AEJ - Alexandria Engineering Journal, 2015
Nur Alam, M G Hafez, Harun-Or- Roshid
exaly