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Application of the method of simplest equation for obtaining exact traveling-wave solutions for the extended Korteweg–de Vries equation and generalized Camassa–Holm equation

✍ Scribed by Vitanov, Nikolay K.; Dimitrova, Zlatinka I.; Kantz, Holger

Book ID
122709051
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
272 KB
Volume
219
Category
Article
ISSN
0096-3003

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Modified method of simplest equation: Po
Modified method of simplest equation: Powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs
✍ Nikolay K. Vitanov 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 242 KB

We discuss the class of equations where A ij (u), B kl (u) and C(u) are functions of u(x, t) as follows: (i) A ij , B kl and C are polynomials of u; or (ii) A ij , B kl and C can be reduced to polynomials of u by means of Taylor series for small values of u. For these two cases the above-mentioned