Travelling wave solutions to certain non-linear evolution equations
โ Scribed by Alan Jeffrey; Siqing Xu
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 349 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0020-7462
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๐ SIMILAR VOLUMES
An ecient numerical method is developed for the numerical solution of non-linear wave equations typiยฎed by the third-and ยฎfth-order Kortewegยฑde Vries equations and their generalizations. The method developed uses a pseudo-spectral (Fourier transform) treatment of the space dependence together with a
## Abstract Let ฮฉ be a domain in โ^__n__^ and let __m__ฯต โ; be given. We study the initialโboundary value problem for the equation with a homogeneous Dirichlet boundary condition; here __u__ is a scalar function, \documentclass{article}\pagestyle{empty}\begin{document}$ \bar D\_x^m u: = (\partial \
## Abstract The Cauchy problem for semilinear wave equations u~tt~ โ ฮ__u__ + __h__(|__x__|)__u__^__p__^ = 0 with radially symmetric smooth โlargeโ data has a unique global classical solution in arbitrary space dimensions if __h__ is nonโnegative and __p__ any odd integer provided the smooth factor