This paper studies the solution of the Kadomtsev-Petviasvili equation with power law nonlinearity in 1+3 dimensions. The Lie symmetry approach as well as the extended tanh-function and G / G methods are used to carry out the analysis. Subsequently, the soliton solution is obtained for this equation
✦ LIBER ✦
SOLUTIONS OF FREE NON-LINEAR OSCILLATIONS WITH POWER LAW IN ONE DIMENSION
✍ Scribed by J.E. BOLWELL
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 116 KB
- Volume
- 252
- Category
- Article
- ISSN
- 0022-460X
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## Communicated by A. Piskorek This work proves global in time existence of large solutions for a quasistatic problem in non-linear viscoelasticity in the three-dimensional case. The basic idea is to apply the energy method for local in time solutions.