
doi: 10.1155/2012/320163
The Kudryashov‐Sinelshchikov equation is studied by using the bifurcation method of dynamical systems and the method of phase portraits analysis. We show that the limit forms of periodic loop solutions contain loop soliton solutions, smooth periodic wave solutions, and periodic cusp wave solutions. Also, some new exact travelling wave solutions are presented through some special phase orbits.
KdV equations (Korteweg-de Vries equations), Soliton solutions, Traveling wave solutions, Periodic solutions to PDEs
KdV equations (Korteweg-de Vries equations), Soliton solutions, Traveling wave solutions, Periodic solutions to PDEs
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