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Full-Text Articles in Physical Sciences and Mathematics
Bbm Equation With Non-Constant Coefficients, Amutha Senthilkumar
Bbm Equation With Non-Constant Coefficients, Amutha Senthilkumar
Turkish Journal of Mathematics
In this article, a model for the propagation of long waves over an uneven bottom is considered. We provide both theoretical and numerical results for this model. We also discuss the changes which occur in a solitary wave solution of the BBM equation as it travels through a channel of decreasing depth.
Bifurcations And Parametric Representations Of Traveling Wave Solutions For The Green--Naghdi Equations, Shengqiang Tang, Libing Zeng, Dahe Feng
Bifurcations And Parametric Representations Of Traveling Wave Solutions For The Green--Naghdi Equations, Shengqiang Tang, Libing Zeng, Dahe Feng
Turkish Journal of Mathematics
By using the bifurcation theory of dynamical systems to study the dynamical behavior of the Green--Naghdi equations, the existence of solitary wave solutions along with smooth periodic traveling wave solutions is obtained. Under different regions of parametric spaces, various sufficient conditions to guarantee the existence of the above solutions are given. Some exact and explicit parametric representations of traveling wave solutions are constructed.