Bibliographic Details
| Title: |
Explicit solutions in inverse scattering method for negative-order AKNS equations. |
| Authors: |
Sabaz, Cihan1 (AUTHOR) cihansabaz@gmail.com, Ismailov, Mansur I. (AUTHOR) mismailov@gtu.edu.tr |
| Source: |
Reports on Mathematical Physics. Apr2026, Vol. 97 Issue 2, p257-273. 17p. |
| Subjects: |
Inverse scattering transform, Lax pair, Integrable systems, Solitons |
| Abstract: |
In this paper, the Lax pairs of the negative-order AKNS equations are presented. The explicit solutions (classical N -soliton and singular kink wave solutions) are derived using the inverse scattering method. The auxiliary spectral problem is formulated as the classical Zakharov-Shabat system with real symmetric and real anti-symmetric potentials. By recalling results from the inverse scattering problem and utilizing the time evolution of the scattering data, explicit solutions for the negative-order AKNS equations corresponding to symmetric and anti-symmetric potentials are obtained through the Gelfand-Levitan-Marchenko equation. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
