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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 159, Number 3, Pages 387–398
DOI: https://doi.org/10.4213/tmf6358 (Mi tmf6358) 		 
Solutions of the real dispersionless Veselov–Novikov hierarchy

J.-H. Chang, Yu.-T. Chen

National Defense University, Department of Electrical Engineering
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DOI: https://doi.org/10.4213/tmf6358
Abstract: We investigate the dispersionless Veselov–Novikov (dVN) equation in the framework of the dispersionless two-component $B$KP 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.
Keywords: dVN hierarchy, Hirota equation, Faber polynomial, hodograph.
English version:
Theoretical and Mathematical Physics, 2009, Volume 159, Issue 3, Pages 741–751
DOI: https://doi.org/10.1007/s11232-009-0062-y
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Language: Russian
Citation: J.-H. Chang, Yu.-T. Chen, “Solutions of the real dispersionless Veselov–Novikov hierarchy”, TMF, 159:3 (2009), 387–398; Theoret. and Math. Phys., 159:3 (2009), 741–751
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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