Elliptic Function Solutions of (2+1)-dimensional Longwave – Shortwave Resonance Interaction Equation via a sinh-Gordon Expansion Method
2004 ◽
Vol 59
(1-2)
◽
pp. 23-28
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Keyword(s):
With the aid of symbolic computation, the sinh-Gordon equation expansion method is extended to seek Jacobi elliptic function solutions of (2+1)-dimensional long wave-short wave resonance interaction equation, which describe the long and short waves propagation at an angle to each other in a two-layer fluid. As a result, new Jacobi elliptic function solutions are obtained. When the modulus m of Jacobi elliptic functions approaches 1, we also deduce the singular oliton solutions; while when the modulus m→0, we get the trigonometric function solutions. - PACS: 02.30.Jr, 03.40.Kf
2008 ◽
Vol 63
(5-6)
◽
pp. 273-279
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2005 ◽
Vol 60
(4)
◽
pp. 237-244
◽
2004 ◽
Vol 59
(9)
◽
pp. 529-536
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Keyword(s):
Keyword(s):
2003 ◽
Vol 14
(03)
◽
pp. 277-284
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