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The effect of laser pulse on nonlinear thermoelasticity using an advanced analytical method. [PDF]

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Taylor Trick and Travelling Wave Solutions

Lobachevskii Journal of Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A travelling wave solution to the Ostrovsky equation

Applied Mathematics and Computation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elçin Yusufoglu, Ahmet Bekir
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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.
Shengfu Deng, Boling Guo, Tingchun Wang
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Traveling Wave and Multiple Traveling Wave Solutions of Parabolic Equations

SIAM Journal on Mathematical Analysis, 1982
We consider scalar equations $u_t = f(u_{xx} ,u_x ,u)$ with $\frac{\partial }{{\partial \alpha }}f(\alpha ,\beta ,\gamma ) \geq 1$. We first determine the stability of the monotonic traveling wave solutions $u(t,x) = \phi (x - ct,c)$. We then study the continued existence and bifurcations of these solutions as the wavespeed c varies.
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