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The Exp-function approach to the Schwarzian Korteweg–de Vries equation

✍ Scribed by İsmail Aslan


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
265 KB
Volume
59
Category
Article
ISSN
0898-1221

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✦ Synopsis


By means of the Exp-function method and its generalization, we report further exact traveling wave solutions, in a concise form, to the Schwarzian Korteweg-de Vries equation which admits physical significance in applications. Not only solitary and periodic waves but also rational solutions are observed.


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On the Stochastic Korteweg–de Vries Equa
✍ A de Bouard; A Debussche 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 429 KB

We consider a stochastic Korteweg de Vries equation forced by a random term of white noise type. This can be a model of water waves on a fluid submitted to a random pressure. We prove existence and uniqueness of solutions in H 1 (R) in the case of additive noise and existence of martingales solution