In this work, the Hamiltonian approach is applied to obtain the natural frequency of the Duffing oscillator, the nonlinear oscillator with discontinuity and the quintic nonlinear oscillator. The Hamiltonian approach is then extended to the second and third orders to find more precise results. The ac
A non-simultaneous variational approach for the oscillators with fractional-order power nonlinearities
β Scribed by Ivana Kovacic; Zvonko Rakaric; Livija Cveticanin
- Book ID
- 108051919
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 474 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0096-3003
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A new aftertreatment technique is developed in this paper to deal with the truncated series derived by the differential transformation method (DTM) to obtain approximate periodic solutions. The proposed aftertreatment technique splits into two types, named as (Sine-AT technique, SAT) and (Cosine-AT
## Saxton and the inviscid Burgers equations a b s t r a c t In this paper, we study and classify the conservation laws of the combined nonlinear KdV, Camassa-Holm, Hunter-Saxton and the inviscid Burgers equation which arises in, inter alia, shallow water equations. It is shown that these can be o