Geodesic
Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 7, pp. 1363-1370

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Solutions of the Riemann problem for a generalized Hopf equation are studied. The solutions are constructed using a sequence of non-overturning Riemann waves and shock waves with stable stationary and nonstationary structures. 
@article{ZVMMF_2016_56_7_a13,
     author = {A. G. Kulikovskii and A. P. Chugainova and V. A. Shargatov},
     title = {Uniqueness of self-similar solutions to the {Riemann} problem for the {Hopf} equation with complex nonlinearity},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {56},
     number = {7},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_7_a13/}
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A. G. Kulikovskii; A. P. Chugainova; V. A. Shargatov. Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 7, pp. 1363-1370. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_7_a13/