A. Bressan, S. Cani?, M. Garavello, M. Herty, and B. Piccoli, Flows on networks: Recent results and perspectives, EMS Surv. Math. Sci, vol.1, issue.5, pp.47-111, 2014.
DOI : 10.4171/emss/2
URL : http://www.ems-ph.org/journals/show_pdf.php?issn=2308-2151&vol=1&iss=1&rank=2

J. Caputo and D. Dutykh, Nonlinear waves in networks: model reduction for the sine-Gordon equation, Phys. Rev. E, p.25, 2011.

J. Caputo and Y. Stepanyants, Bore formation, evolution and disintegration into solitons in shallow inhomogeneous channels, Nonlin. Processes. Geophys, vol.10, pp.407-424, 2003.
DOI : 10.5194/npg-10-407-2003
URL : https://hal.archives-ouvertes.fr/hal-00331067

D. Dutykh and F. Dias, Energy of tsunami waves generated by bottom motion, Proc. R. Soc. A, vol.465, pp.725-744, 2009.
DOI : 10.1098/rspa.2008.0332
URL : https://hal.archives-ouvertes.fr/hal-00311752

D. Dutykh, T. Katsaounis, and D. Mitsotakis, Finite volume schemes for dispersive wave propagation and runup, J. Comput. Phys, vol.230, pp.3035-3061, 2011.
DOI : 10.1016/j.jcp.2011.01.003
URL : https://hal.archives-ouvertes.fr/hal-00472431

D. Dutykh, R. Poncet, and F. Dias, The VOLNA code for the numerical modeling of tsunami waves: Generation, propagation and inundation, Eur. J. Mech. B, vol.30, 2011.

D. Dutykh, D. Clamond, P. Milewski, and D. Mitsotakis, Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations, Eur. J. Appl. Math, vol.24, pp.761-787, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00587994

D. Dutykh and J. Caputo, Wave dynamics on networks: Method and application to the sine-Gordon equation, Appl. Numer. Math, vol.131, pp.54-71, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01160840

P. Exner and O. Post, Quantum networks modelled by graphs, AIP Conf. Proc, vol.998, 2008.
DOI : 10.1063/1.2915634
URL : http://arxiv.org/pdf/0706.0481

J. Hadamard, Leçons sur la géométrie élémentaire, Librairie Armand Colin, vol.17, p.6, 1906.

H. Holden and N. H. Risebro, Riemann problems with a kink, Siam J. Appl. Math, vol.30, issue.5, pp.497-515, 1999.
DOI : 10.1137/s0036141097327033

P. M. Jacovkis, One-dimensional hydrodynamic flow in complex networks and some generalizations, Siam J. Appl. Math, vol.51, issue.5, pp.948-966, 1991.

L. Landau and E. Lifchitz, Cours de Physique théorique: Hydrodynamique, Ellipses, 1990.

A. Nachbin and V. S. Simoes, Solitary waves in forked channel regions, J. Fluid Mech, vol.777, p.25, 2015.
DOI : 10.1017/jfm.2015.359

O. Post, Spectral Analysis on Graph-Like Spaces, In Lecture Notes in Mathematics, issue.8, 2012.
DOI : 10.1007/978-3-642-23840-6

G. Schmidt, E. J. Chapman, /. Hall, and . Crc, On Junctions in a Network of Canals, Control Theory of Partial Differential Equations, pp.207-212, 2005.

F. Serre, Contribution à l'étude des écoulements permanents et variables dans les canaux, vol.8, pp.374-388, 1953.

L. F. Shampine and M. W. Reichelt, The MATLAB ODE Suite, SIAM J. Sci. Comput, vol.18, pp.1-22, 1997.
DOI : 10.1137/s1064827594276424
URL : https://hal.archives-ouvertes.fr/hal-01333731

A. Shi, M. H. Teng, and I. M. Sou, Propagation of long water waves through branching channels, J. Eng. Mech, vol.131, p.23, 2005.
DOI : 10.1061/(asce)0733-9399(2005)131:8(859)

J. J. Stoke, Water Waves: The Mathematical Theory with Applications, vol.5, p.10, 1992.

J. Caputo, BP, vol.8

D. Dutykh, , p.73000

F. E. Chambéry,

B. Gleyse, BP, vol.8