N ov 2 00 3 Transformation of a generalized Harry Dym equation into the Hirota – Satsuma system
نویسنده
چکیده
The new generalized Harry Dym equation, recently introduced by Z. Popowicz in Phys. Lett. A 317, 260–264 (2003), is transformed into the Hirota–Satsuma system of coupled KdV equations.
منابع مشابه
ct 2 00 3 Transformation of a generalized Harry Dym equation into the Hirota – Satsuma system
The new generalized Harry Dym equation of Z. Popowicz is transformed into the Hirota–Satsuma system of coupled KdV equations.
متن کاملTransformation of a generalized Harry Dym equation into the Hirota–Satsuma system
The new generalized Harry Dym equation of Z. Popowicz is transformed into the Hirota–Satsuma system of coupled KdV equations.
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and Applied Analysis 3 Theorem 5. If u(x, t) = f(x)g(t), function f(x) = xh(x), where λ > −1 and h(x) has the generalized Taylor series expansion h(x) = ∑∞ n=0 a n (x − x 0 ) αn, (i) β < λ + 1 and α arbitrary, or (ii) β ≥ λ+1, α arbitrary, and a n = 0 for n = 0, 1, . . . , m− 1, wherem − 1 < β ≤ m, then the generalized differential transform (8) becomes U α,β (k, h) = 1 Γ (αk + 1) Γ (βh + 1) [D...
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