High-order numerical method for the derivative nonlinear Schrödinger equation
2017 ◽
Vol 08
(01)
◽
pp. 1750017
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Keyword(s):
In this work, a fourth-order numerical scheme in space and two second-order numerical schemes in both time and space are proposed for the derivative nonlinear Schrödinger equation. We verify the mass conservation for the two-level implicit scheme. The influence on the soliton solution by adding a small random perturbation to the initial condition is discussed. The numerical experiments are given to test the accuracy order for different schemes, respectively. We also test the conservative property of mass and Hamiltonian for these schemes from the numerical point of view.
2018 ◽
Vol 19
(3-4)
◽
pp. 239-249
◽
1993 ◽
Vol 50
(3)
◽
pp. 457-476
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2002 ◽
Vol 8
(1)
◽
pp. 237-255
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2012 ◽
Vol 32
(6)
◽
pp. 2101-2123
◽
1995 ◽
Vol 64
(5)
◽
pp. 1519-1523
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