Darboux Transformation for Coupled Non-Linear Schrödinger Equation and Its Breather Solutions
2017 ◽
Vol 72
(1)
◽
pp. 9-15
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Keyword(s):
AbstractStarting from a 3×3 spectral problem, a Darboux transformation (DT) method for coupled Schrödinger (CNLS) equation is constructed, which is more complex than 2×2 spectral problems. A scheme of soliton solutions of an integrable CNLS system is realised by using DT. Then, we obtain the breather solutions for the integrable CNLS system. The method is also appropriate for more non-linear soliton equations in physics and mathematics.
2018 ◽
Vol 76
◽
pp. 170-174
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Keyword(s):
2006 ◽
Vol 20
(25)
◽
pp. 1575-1589
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2018 ◽
Vol 78
◽
pp. 126-132
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2017 ◽
Vol 32
(29)
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pp. 1750158
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