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SEVERAL TYPES OF PERIODIC WAVE SOLUTIONS AND THEIR RELATIONS OF A FUJIMOTO-WATANABE EQUATION

The Journal of Applied Analysis and Computation, 2019
In this paper, we study periodic wave solutions of a Fujimoto– Watanabe equation by exploiting the bifurcation method of dynamical systems. We obtain all possible bifurcations of phase portraits of the system in different regions of the parametric space,
Lijuan Shi, Zhenshu Wen
semanticscholar   +1 more source

Solitary Wave and Quasi-Periodic Wave Solutions to a (3+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff Equation

Advances in Applied Mathematics and Mechanics, 2018
A (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation is considered, which can be used to describe many nonlinear phenomena in plasma physics. By virtue of binary Bell polynomials, a bilinear representation of the equation is succinctly
C. Qin
semanticscholar   +1 more source

Periodic solutions of a nonlinear wave equation

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1980
SynopsisWe provide a sufficient and “almost” necessary condition for the existence of a periodic solution of the equationwhereFis nondecreasing inuand has a small linear growth as |u|→∞.
Bahri, Abbas, Brézis, Haïm
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New solitary wave solutions and periodic wave solutions for the compound KdV equation

Chaos, Solitons & Fractals, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Weiguo   +3 more
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Solitary Wave and Periodic Wave Solutions for a Non-Newtonian Filtration Equation

Mathematical Physics, Analysis and Geometry, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liang, Zaitao, Chu, Jifeng, Lu, Shiping
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Periodic Solutions of the Wave Equation with a Nonlinear Interface Condition

IBM Journal of Research and Development, 1961
In this paper we consider the problem of the voltage oscillations in a transmission line when a diode represented as a nonlinear capacitance is placed in shunt in that line. In particular we consider the response of this line to periodic driving voltages and study the periodic responses.
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Periodic traveling-wave solution of the Sakuma-Nishiguchi equation

Physical Review B, 1996
The Sakuma-Nishiguchi equation describes surface acoustic waves in a semi-infinite layered medium with a free surface. We show that while this equation does not support ${\mathrm{sech}}^{2}$-like solitary waves, it does support a cos-like traveling-wave solution, which for certain values of the parameters is similar to a periodic train of ${\mathrm ...
Rowland, David R., Jovanoski, Zlatko
openaire   +4 more sources

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