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Solutions of the real dispersionless Veselov-Novikov hierarchy

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Abstract

We investigate the dispersionless Veselov-Novikov (dVN) equation in the framework of the dispersionless two-component BKP hierarchy. We consider symmetry constraints for the real dVN system and show that the conserved densities are related to Faber polynomials and can be solved recursively. In addition, we use the Faber polynomials to find hodograph solutions of the dVN hierarchy.

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Authors and Affiliations

  1. Department of Computer Science, National Defense University, Taoyuan, Taiwan

    Jen-Hsu Chang & Yu-Tung Chen

Authors
  1. Jen-Hsu Chang
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  2. Yu-Tung Chen
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Correspondence to Jen-Hsu Chang.

Additional information

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 159, No. 3, pp. 387–398, June, 2009.

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Chang, JH., Chen, YT. Solutions of the real dispersionless Veselov-Novikov hierarchy. Theor Math Phys 159, 741–751 (2009). https://doi.org/10.1007/s11232-009-0062-y

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  • DOI: https://doi.org/10.1007/s11232-009-0062-y

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