- Tytuł:
- The inverse scattering transform in the form of a Riemann-Hilbert problem for the Dullin-Gottwald-Holm equation
- Autorzy:
-
Shepelsky, D.
Zielinski, L. - Powiązania:
- https://bibliotekanauki.pl/articles/254875.pdf
- Data publikacji:
- 2017
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Dullin-Gottwald-Holm equation
Camassa-Holm equation
inverse scattering transform
Riemann-Hilbert problem - Opis:
- The Cauchy problem for the Dullin-Gottwald-Holm (DGH) equation [formula] with zero boundary conditions (as [formula]) is treated by the Riemann-Hilbert approach to the inverse scattering transform method. The approach allows us to give a representation of the solution to the Cauchy problem, which can be efficiently used for further studying the properties of the solution, particularly, in studying its long-time behavior. Using the proposed formalism, smooth solitons as well as non-smooth cuspon solutions are presented.
- Źródło:
-
Opuscula Mathematica; 2017, 37, 1; 167-187
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł