A conservative spectral method for the coupled Schrödinger-KdV equations
| Autor: | Danfu Han, Miaoyong Du, Hao Zhou, Yao Shi |
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| Rok vydání: | 2020 |
| Předmět: |
Physics
Work (thermodynamics) Discretization Mathematical analysis General Physics and Astronomy Statistical and Nonlinear Physics 010103 numerical & computational mathematics Space (mathematics) 01 natural sciences 010305 fluids & plasmas Computer Science Applications symbols.namesake Fourier transform Computational Theory and Mathematics 0103 physical sciences symbols Padé approximant 0101 mathematics Spectral method Korteweg–de Vries equation Mathematical Physics Schrödinger's cat |
| Zdroj: | International Journal of Modern Physics C. 31:2050074 |
| ISSN: | 1793-6586 0129-1831 |
| DOI: | 10.1142/s0129183120500746 |
| Popis: | In this work, we present a conservative method to solve the coupled Schrödinger-KdV (CSK) equations. The CSK equations are discretized in space by Fourier spectral collocation method and exponential time differencing with three-layer implicit schemes for time dependence. The scheme is decoupled and conserve semi-discrete three invariants. To demonstrate the accuracy and reliability of the used scheme, we use three invariants, [Formula: see text] and [Formula: see text] error norms. Numerical results manifest better performance of the scheme compared with other numerical schemes. |
| Databáze: | OpenAIRE |
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