Geodesic
Dirichlet Series for Quasilinear Partial Differential Equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 2, pp. 224-228

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We consider the construction of Dirichlet series for quasilinear partial differential equations. We obtain a remarkable result that for the class of equations under study, the only equations that admit such a series solution are transformable back onto the only known integrable equation within the class.
Keywords: integrable systems, Dirichlet series. 
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     author = {A. Pickering},
     title = {Dirichlet {Series} for {Quasilinear} {Partial} {Differential} {Equations}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {224--228},
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     volume = {135},
     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_135_2_a2/}
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A. Pickering. Dirichlet Series for Quasilinear Partial Differential Equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 2, pp. 224-228. http://geodesic.mathdoc.fr/item/TMF_2003_135_2_a2/