References
- M. Antonowicz and A.P. Fordy, Coupled KdV equations with multi-Hamiltonian structures, Physica D 28 (1987) 345–357. doi: 10.1016/0167-2789(87)90023-6
- J.C. Brunelli and A. Das, On an integrable hierarchy derived from the isentropic gas dynamics, J. Math. Phys. 45 (2004) 2633–2645. doi: 10.1063/1.1756699
- J. Golenia, M.V. Pavlov, Z. Popowicz and A.K. Prykarpatsky, On a nonlocal Ostrovsky-Whitham type dynamical system, its Riemann type inhomogeneous regularizations and their integrability, SIGMA. 6 (2010) 002 (13 pages).
- A.V. Gurevich and K.P. Zybin, Nondissipative gravitational turbulence, Sov. Phys. JETP. 67 (1988) 1–12.
- A.V. Gurevich and K.P. Zybin, Large-scale structure of the Universe. Analytic theory, Phys.-Usp. 38 (1995) 687–722. doi: 10.1070/PU1995v038n07ABEH000094
- J.K. Hunter and R. Saxton, Dynamics of director fields, SIAM J. Appl. Math. 51 (1991) 1498–1521. doi: 10.1137/0151075
- J.K. Hunter and Y. Zheng, On a completely integrable nonlinear hyperbolic variational equation, Physica D 79 (1994) 361–384. doi: 10.1016/S0167-2789(05)80015-6
- F. Magri, A simple model of the integrable Hamiltonian equation, J. Math. Phys. 19 (1978) 1156–1162. doi: 10.1063/1.523777
- P.J. Olver and Y. Nutku, Hamiltonian structures for systems of hyperbolic conservation laws, J. Math. Phys. 29 (1988) 1610–1619. doi: 10.1063/1.527909
- M.V. Pavlov, The Gurevich-Zybin system, J. Phys. A: Math. Gen. 38 (2005) 3823–3840. doi: 10.1088/0305-4470/38/17/008
- Z. Popowicz, The matrix Lax representation of the generalized Riemann equations and its conservation laws, Phys. Lett. A 375 (2011) 3268–3272. doi: 10.1016/j.physleta.2011.06.068
- Z. Popowicz and A.K. Prykarpatsky, The non-polynomial conservation laws and integrability analysis of generalized Riemann type hydrodynamical equations, Nonlinearity. 23 (2010) 2517–2537. doi: 10.1088/0951-7715/23/10/010
- A.K. Prykarpatsky, O.D. Artemovych, Z. Popowicz and M.V. Pavlov, Differential-algebraic integrability analysis of the generalized Riemann type and Korteweg-de Vries hydrodynamical equations, J. Phys. A: Math. Theor. 43 (2010) 295205 (13 pages). doi: 10.1088/1751-8113/43/29/295205
- S. Sakovich, On a Whitham-type equation, SIGMA. 5 (2009) 101 (7 pages).
- K. Tian and Q.P. Liu, Conservation laws and symmetries of Hunter-Saxton equation: revisited, Nonlinearity. 29 (2016) 737–755. doi: 10.1088/0951-7715/29/3/737
- G.B. Whitham, Linear and nonlinear waves (Wiley, New York, 1974).