The Boussinesq equation: Lax pair, Bäcklund transformation, symmetry group transformation and consistent Riccati expansion solvability
نویسندگان
چکیده
منابع مشابه
Bäcklund 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...
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ژورنال
عنوان ژورنال: Acta Physica Sinica
سال: 2020
ISSN: 1000-3290
DOI: 10.7498/aps.69.20191316