Approximate symmetries and infinite series symmetry reduction solutions to perturbed Kuramoto-Sivashinsky equation. Starting from Lie symmetry theory and combining with an approximate symmetry method, and using the package LieSYMGRP proposed by us, we restudy the perturbed Kuramoto-Sivashinsky (KS) equation. The approximate symmetry reduction and the infinite series symmetry reduction solutions of the perturbed KS equation are constructed. Specially, if selecting the tanh-type travelling wave solution as initial approximation, we obtain not only the general formula of the physical approximate similarity solutions, but also several new explicit solutions of the given equation.
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References in zbMATH (referenced in 3 articles , 1 standard article )
Showing results 1 to 3 of 3.
- Jiao, Xiaoyu; Zheng, Ying; Wu, Bo: Approximate homotopy symmetry and infinite series solutions to the perturbed mKdV equation (2012)
- Liu, Xi-Zhong: Approximate similarity reduction for the perturbed mKdV equation via symmetry perturbation and direct method (2010)
- Yao, Ruo-Xia; Jiao; Xiao-Yu; Lou, Sen-Yue: Approximate symmetries and infinite series symmetry reduction solutions to perturbed Kuramoto-Sivashinsky equation (2009)