Rational solutions from Padé approximants for the generalized Hunter-Saxton equation

21st International Conference on Integrable Systems and Quantum Symmetries

Aratyn, H.^1 ; Gomes, J.F.^2 ; Ruy, D.V.^2 ; Zimerman, A.H.^2

Department of Physics, University of Illinois at Chicago, 845 W. Taylor St., Chicago, IL 60607-7059, United States^1

Instituto de Física Teórica, UNESP, Rua Dr Bento Teobaldo Ferraz 271, Bloco II, 01140-070, São Paulo, Brazil^2

关键词: Algebraic solution;    Approximants;    Hunter-Saxton equation;    Rational solution;    Self-similarities;    Traveling wave;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/474/1/012006/pdf
DOI  :  10.1088/1742-6596/474/1/012006

来源: IOP

【 摘 要 】

Exact rational solutions of the generalized Hunter-Saxton equation are obtained using Pade´ approximant approach for the traveling-wave and self-similarity reduction. A larger class of algebraic solutions are also obtained by extending a range of parameters within the solutions obtained by this approach.