Soliton Solution of New (2+1) Dimensional Nonlinear Partial Differential Equations
β Scribed by A. Uthayakumar; K. Nakkeeran; K. Porsezian
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 225 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0960-0779
No coin nor oath required. For personal study only.
β¦ Synopsis
Using singularity structure analysis\ we establish the integrability property of new "1Β¦0# dimensional nonlinear partial di}erential equations "NPDEs# derived by Maccari from integrable equations through the reduction method[ We also derive the bilinear form and one soliton solution is explicitly generated[ Finally\ we discuss the connection between the system equations and other integrable models[ Γ 0888 Elsevier Science Ltd[ All rights reserved[
π SIMILAR VOLUMES
We consider Dirichlet boundary value problems for a class of nonlinear ordinary differential equations motivated by the study of radial solutions of equations which are perturbations of the p -Laplacian.
## Abstract We solve a Fuchsian system of singular nonlinear partial differential equations with resonances. These equations have no smooth solutions in general. We show the solvability in a class of finitely smooth functions. Typical examples are a homology equation for a vector field and a degene