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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We study behavior of numerical solutions for a nonlinear eigenvalue problem on $\R^n$ that is reduced from a dispersion managed nonlinear Schr\"{o}dinger equation. The solution operator of the free Schr\"{o}dinger equation in the eigenvalue problem is implemented via the finite difference scheme, and the primary nonlinear eigenvalue problem is numerically solved via Picard iteration. Through numerical simulations, the results known only theoretically, for example the number of eigenpairs for one dimensional problem, are verified. Furthermore several new characteristics of the eigenpairs, including the existence of eigenpairs inherent in zero average dispersion two dimensional problem, are observed and analyzed.
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참고문헌 (33)
참고문헌 신청
F. Kh. / 2003 / Stable two-dimensional dispersionmanaged soliton / Phys. Rev. E 68:00605~00601
M. J. Ablowitz / 1998 / Multiscale pulse dynamics in communication systems with strong dispersion management / Opt. Lett 23:1668~1670
J. Bonetti / 2019 / Modified nonlinear Schrodinger equation for frequency-dependent nonlinear profiles of arbitrary sign / J. Opt. Soc. Am. B 36:3139~3144
E. Carneiro / 2009 / A sharp inequality for the Strichartz norm / Int. Math. Res. Not. IMRN 2009:3127~3145
Qianshun Chang / 1999 / Difference Schemes for Solving the Generalized Nonlinear Schrödinger Equation / Journal of Computational Physics 148(2):397~415
M. J. Ablowitz / 1998 / Multiscale pulse dynamics in communication systems with strong dispersion management / Opt. Lett 23:1668~1670
J. Bonetti / 2019 / Modified nonlinear Schrodinger equation for frequency-dependent nonlinear profiles of arbitrary sign / J. Opt. Soc. Am. B 36:3139~3144
E. Carneiro / 2009 / A sharp inequality for the Strichartz norm / Int. Math. Res. Not. IMRN 2009:3127~3145
Qianshun Chang / 1999 / Difference Schemes for Solving the Generalized Nonlinear Schrödinger Equation / Journal of Computational Physics 148(2):397~415
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