## Soliton solution a b s t r a c t In this work, the improved tanh-coth method is used to obtain wave solutions to a Korteweg-de Vries (KdV) equation with higher-order nonlinearity, from which the standard KdV and the modified Korteweg-de Vries (mKdV) equations with variable coefficients can be d
The higher-order KdV equation with a source and nonlinear superposition formula
β Scribed by Xing-Biao Hu
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 266 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0960-0779
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The exact analytical solution of the optical soliton equation with higher-order dispersion and nonlinear effects has been obtained by the method of separating variables. The new type of optical solitary wave solution, which is quite different from the bright and dark soliton solutions, has been foun
We study the nonlinear wave equation involving the nonlinear damping term \(u_{i}\left|u_{t}\right|^{m-1}\) and a source term of type \(u|u|^{p-1}\). For \(1<p \leqslant m\) we prove a global existence theorem with large initial data. For \(1<m<p\) a blow-up result is established for sufficiently la