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Backlund Transformations for the Initial Problems of Nizhnich and Nizhnich-Novikov-Veselov Equations |
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| Authors: | SU Hong-Liang WANG Ming-Liang QIN Meng-Zhao |
| Abstract: | The homogeneous balance method is a method for solving general partial differential equations (PDEs). Inthis paper we solve a kind of initial problems of the PDEs by using the special Backlund transformations of the initialproblem. The basic Fourier transformation method and some variable-separation skill are used as auxiliaries. Two initialproblems of Nizhnich and the Nizhnich-Novikov-Veselov equations are solved by using this approach. |
| Keywords: | Backlund transformation initial problem Nizhnick equation Nizhnich Novikov-Veselov equation homogeneous balance method |
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