- Turkish Journal of Mathematics and Computer Science
- Cilt: 15 Sayı: 2
- New Conservative Schemes for Zakharov Equation
New Conservative Schemes for Zakharov Equation
Authors : Ayhan Aydin, Bahaa Ahmed Khalaf Sabawe
Pages : 277-293
Doi:10.47000/tjmcs.1226770
View : 26 | Download : 34
Publication Date : 2023-12-31
Article Type : Research
Abstract :New first-order and second-order energy preserving schemes are proposed for the Zakharov system. The methods are fully implicit and semi-explicit. It has been found that the first order method is also massconserving. Concrete schemes have been applied to simulate the soliton evolution of the Zakharov system. Numerical results show that the proposed methods capture the remarkable features of the Zakharov equation. We have obtained that the semi-explicit methods are more efficient than the fully implicit methods. Numerical results also demonstrate that the new energy-preserving schemes accurately simulate the soliton evolution of the Zakharov system.Keywords : Average vector field method, partitioned average vector field method, Hamiltonian system, Zakharov equation