@Article{JNMA-3-2, author = {Ronghua, Cheng and Zhaofu, Luo and Xiaochun, Hong}, title = {Bifurcations and New Traveling Wave Solutions for the Nonlinear Dispersion Drinfel'd-Sokolov ($D(m,n)$) System}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {3}, number = {2}, pages = {193--207}, abstract = {

In this paper, we employ the theory of the planar dynamical system to investigate the dynamical behavior and bifurcations of solutions of the traveling systems of the $D(m,n)$ equation. On the basis of the previous work of the reference [17], we obtain the solitary cusp waves solutions (peakons and valleyons), breaking wave solutions (compactons) and other periodic cusp wave solutions. Morever, we make a summary of exact traveling wave solutions to the $D(m,n)$ system including all the solutions which have been found from the references [4, 14, 17].

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2021.193}, url = {https://global-sci.com/article/87957/bifurcations-and-new-traveling-wave-solutions-for-the-nonlinear-dispersion-drinfeld-sokolov-dmn-system} }