The Jacobi elliptic function solutions to a generalized Benjamin–Bona–Mahony equation

Model equations for long waves in nonlinear dispersive systems

T. Brooke Benjamin, Jerry L. Bona, J. J. Mahony · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · 1972 · 2.1K citations

Natural Sciences, Mathematics, Differential Equations +15

Compactons: Solitons with finite wavelength

Philip Rosenau, James M. Hyman · Physical Review Letters · 1993 · 1.1K citations

Natural Sciences, Physics, Differential Equations +14

The tanh method: I. Exact solutions of nonlinear evolution and wave equations

W. Malfliet, Willy Hereman · Physica Scripta · 1996 · 1K citations

Natural Sciences, Mathematics, Physics +17

A sine-cosine method for handlingnonlinear wave equations

Abdul–Majid Wazwaz · Mathematical and Computer Modelling · 2004 · 820 citations

Natural Sciences, Computational Engineering, Differential Equations +6

The Modified Korteweg-de Vries Equation

Miki Wadati · Journal of the Physical Society of Japan · 1973 · 570 citations

Natural Sciences, Physics, Differential Equations +12