Coupled KdV Equations of Hirota-Satsuma Type
نویسندگان
چکیده
منابع مشابه
SOLITARY SOLUTIONS OF COUPLED KdV AND HIROTA–SATSUMA DIFFERENTIAL EQUATIONS
By considering the set of coupled KdV differential equations as a zero curvature representation of some fourth order linear differential equation and factorizing the linear differential equation, the hierarchy of solutions of the coupled KdV differential equations have been obtained from the eigen spectrum of constant potentials.
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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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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 1999
ISSN: 1776-0852
DOI: 10.2991/jnmp.1999.6.3.2