References
- Benjamin , T.B , Bona , J.L and Mahony , J.J . 1972 . Mode! equations for long waves in nonlinear dispersive systems . Philos. Trans, Roy, Soc. London, Ser , 272 : 47 – 78 .
- Bona , J.L and Bryant , P.J . 1973 . A mathematical model for long waves generated by wavemakers in non-linear dispersive systems . Proc. Camb. Phil. Soc , 73 : 391 – 405 .
- Carroll , R.W and Showalter , R.E . 1976 . Singular and degenerate Cauchy problems , New York : Academic Press .
- Jeffrey , A and Kakutani , T . 1972 . Weak nonlinear dispersive waves: a discussion centered around the Korteweg-de Vries equation . SI AM Review , 14 : 582 – 643 .
- Kakutani , T . 1971 . Effect of an uneven bottom on gravity waves . J, Phys. Soc. Japan , 30 : 272 – 276 .
- Madsen , O.S and Mei , C.C . 1969 . The transformation of a solitary wave over an uneven bottom . J. Fluid Mech , 39 : 781 – 791 .
- Newell , A.C . 1974 . Nonlinear Wave Motion . Amer. Math. Soc, Providence , 15
- Peregrine , D.H . 1966 . Calculations of the development of an undular bore . J. Fluid Mech , 25 : 321 – 330 .
- Peregrine , D.H . 1967 . Long waves on a beach . J. Fluid Mech , 27 : 815 – 827 .
- Showalter , R.E . 1972 . Existence and representation theorems for a semilinear Sobolev equation in Banach space . SI AM J. Math. Anal , 3 : 527 – 543 .
- Showalter , R.E . 1974 . Degenerate evolution equations . Indiana Univ. Math. J , 23 : 655 – 677 .
- Showalter , R.E . 1977 . Well-posed problems for some non-linear dispersive waves . J. Math. Pares et Appl , 56 : 123 – 135 .