Bäcklund transformations for the Boussinesq equation and merging solitons
نویسندگان
چکیده
منابع مشابه
The Boussinesq equation and Miura type transformations
Several Miura type transformations for the Boussinesq equation are found and the corresponding integrable systems constructed.
متن کاملFourier-Galerkin method for 2D solitons of Boussinesq equation
We develop a Fourier–Galerkin spectral technique for computing the stationary solutions of 2D generalized wave equations. To this end a special complete orthonormal system of functions in L2(−∞,∞) is used for which product formula is available. The exponential rate of convergence is shown. As a featuring example we consider the Proper Boussinesq Equation (PBE) in 2D and obtain the shapes of the...
متن کاملBäcklund Transformation for the Krichever-novikov Equation
The Krichever-Novikov equation u t = u xxx − 3 2u x (u 2 xx − r(u)) + cu x , r (5) = 0 (1) appeared (up to change u = p(˜ u), ˙ p 2 = r(p)) in [1] for the first time in connection with study of finite-gap solutions of the Kadomtsev-Petviashvili equation. The distinctive feature of the equation (1) is that, accordingly to [2], no differential substitution exists connecting it with other KdV-type...
متن کاملBäcklund Transformations for Integrable Geometric Curve Flows
We study the Bäcklund transformations of integrable geometric curve flows in certain geometries. These curve flows include the KdV and Camassa-Holm flows in the two-dimensional centro-equiaffine geometry, the mKdV and modified Camassa-Holm flows in the two-dimensional Euclidean geometry, the Schrödinger and extended Harry-Dym flows in the three-dimensional Euclidean geometry and the Sawada-Kote...
متن کاملBäcklund Transformations for Fourth Painlevé Hierarchies Pilar
Bäcklund transformations (BTs) for ordinary differential equations (ODEs), and in particular for hierarchies of ODEs, are a topic of great current interest. Here we give an improved method of constructing BTs for hierarchies of ODEs. This approach is then applied to fourth Painlevé (PIV ) hierarchies recently found by the same authors [Publ. Res. Inst. Math. Sci. (Kyoto) 37 327–347 (2001)]. We ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2017
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/aa7af7