Bäcklund Transformation and New Exact Solutions of the Sharma-Tasso-Olver Equation
نویسندگان
چکیده
منابع مشابه
Bäcklund Transformation and New Exact Solutions of the Sharma-Tasso-Olver Equation
and Applied Analysis 3 At resonance levels, ur should be arbitrary, and then we are deducing a nonlinear equation g ur−1 · · ·u0, φ · · · 0. If the equation f implies g, then the compatibility condition is unconditionally satisfied. An equation for which these three steps can be carried out consistently and unambiguously passes the Painlevé test. Equation 1.3 is called the truncated Painlevé ex...
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G /G-expansion method which is employed to investigate the solitary and periodic traveling waves of this equation. As a result, some new traveling wave solutions involving hyperbolic functions, the trigonometric functions, are obtained.When the parameters are taken as special values, the solitary wave solutions are derived from the hyperbolic function solutions, and the periodic wave solution...
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In present paper, the Sharma-Tasso-Olever (STO) equation is considered by the Lie symmetry analysis. All of the geometric vector fields to the STO equation are obtained, then the symmetry reductions and exact solutions of the STO equation are investigated. Our results witness that symmetry analysis was very efficient and powerful technique in finding the solutions of the proposed equation.
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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: Abstract and Applied Analysis
سال: 2011
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2011/935710