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Nonlinear Stability in a Free Boundary Model of Active Locomotion. [PDF]
Arch Ration Mech AnalBerlyand L, Safsten CA, Truskinovsky L.
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Dynamics of soliton propagation: bifurcation, chaos, and quantitative insights into the modified Camassa-Holm equation. [PDF]
Sci RepAlam MN +5 more
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Taylor Trick and Travelling Wave Solutions
Lobachevskii Journal of Mathematics, 2022zbMATH 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, 2007zbMATH 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, 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.
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, 1982We 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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Bifurcation and Traveling Wave Solutions for the Fokas Equation
International Journal of Bifurcation and Chaos, 2015This paper is devoted to discussing bifurcation and traveling wave solutions for the Fokas equation. By investigating the dynamical behavior with phase space analysis, we may derive all possible exact traveling wave solutions, including compactons, cuspons, periodic cusp wave solutions, and smooth solitary wave solutions.
Jibin Li 0001, Zhijun Qiao
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Travelling wave solutions of the Fornberg–Whitham equation
Applied Mathematics and Computation, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aiyong Chen +3 more
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