Rational solutions from Pade approximants for the generalized Hunter-Saxton equationa

被引：6

作者：

Aratyn, H. ^{[1
]}

Gomes, J. F. ^{[2
]}

Ruy, D. V. ^{[2
]}

Zimerman, A. H. ^{[2
]}

机构：

[1] Univ Illinois, Dept Phys, 845 W Taylor St, Chicago, IL 60607 USA

[2] Univ Estadual Paulista, Inst Fis, Sao Paulo, Brazil

来源：

XXIST INTERNATIONAL CONFERENCE ON INTEGRABLE SYSTEMS AND QUANTUM SYMMETRIES (ISQS21) | 2013年 / 474卷

基金：

巴西圣保罗研究基金会;

关键词：

D O I：

10.1088/1742-6596/474/1/012006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：7

共 7 条

[1] Al-Ali EM., 2013, Int. J. Math. Anal, V7, P1647, DOI [10.12988/ijma.2013.3483, DOI 10.12988/IJMA.2013.3483]
[2] Baker George A., 1996, Pade Approximants, V59
[3] Pade approximant algorithm for solving nonlinear ordinary differential equation boundary value problems on an unbounded domain
Boyd, JP
[J]. COMPUTERS IN PHYSICS, 1997, 11 (03): : 299 - 303
[4] DYNAMICS OF DIRECTOR FIELDS
HUNTER, JK
SAXTON, R
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1991, 51 (06) : 1498 - 1521
[5] Mousa M M, 2009, INT J ENA APPL SCI, V5, P237
[6] The Calogero equation and Liouville-type equations
Pavlov, MV
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2001, 128 (01) : 927 - 932
[7] Einstein-Weyl spaces and third-order differential equations
Tod, KP
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2000, 41 (08) : 5572 - 5581

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