Khare, Avinash ; Sukhatme, Uday (2002) Linear superposition in nonlinear equations Physical Review Letters, 88 (24). 244101_1-244101_4. ISSN 0031-9007
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Official URL: http://prl.aps.org/abstract/PRL/v88/i24/e244101
Related URL: http://dx.doi.org/10.1103/PhysRevLett.88.244101
Abstract
Even though the KdV and modified KdV equations are nonlinear, we show that suitable linear combinations of known periodic solutions involving Jacobi elliptic functions yield a large class of additional solutions. This procedure works by virtue of some remarkable new identities satisfied by the elliptic functions.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 83272 |
| Deposited On: | 20 Feb 2012 09:26 |
| Last Modified: | 19 May 2016 00:11 |
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