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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2016
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/1603.03975 |
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| _version_ | 1866913371964571648 |
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| author | Lou, S. Y. |
| author_facet | Lou, S. Y. |
| contents | To describe two-place physical problems, many possible models named Alice-Bob (AB) systems are proposed. To find and to solve these systems, the Parity (P), time reversal (T), charge conjugation (C), shifted-parity ($P_s$, parity with a shift), delayed time reversal ($T_d$, time reversal with a delay) and their possible combinations such as PT, PC, $P_sC$, $P_sT_d$ and $P_sT_dC$ etc. can be successively used. Especially, some special types of $P_s$-$T_d$-$C$ group invariant multi-soliton solutions for the KdV-KP-Toda type, mKdV-sG type, NLS type and discrete $H_1$ type AB systems are explicitly constructed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1603_03975 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Alice-Bob systems, $P_s$-$T_d$-$C$ principles and multi-soliton solutions Lou, S. Y. Exactly Solvable and Integrable Systems Mathematical Physics To describe two-place physical problems, many possible models named Alice-Bob (AB) systems are proposed. To find and to solve these systems, the Parity (P), time reversal (T), charge conjugation (C), shifted-parity ($P_s$, parity with a shift), delayed time reversal ($T_d$, time reversal with a delay) and their possible combinations such as PT, PC, $P_sC$, $P_sT_d$ and $P_sT_dC$ etc. can be successively used. Especially, some special types of $P_s$-$T_d$-$C$ group invariant multi-soliton solutions for the KdV-KP-Toda type, mKdV-sG type, NLS type and discrete $H_1$ type AB systems are explicitly constructed. |
| title | Alice-Bob systems, $P_s$-$T_d$-$C$ principles and multi-soliton solutions |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/1603.03975 |