Three-Dimensional Nonlinear Schrodinger Equation For Finite-Amplitude Gravity Waves In A Fluid
Abbreviated Journal Title
Nouvo Cimento Soc. Ital. Fis. B-Gen. Phys. Relativ. Astron. Math. Phys. Methods
The averaged Lagrangian method is used to derive a new nonlinear Schrödinger equation in order to describe the evolution of three-dimensional modulations superposed on finite-amplitude gravity waves in a fluid. An interesting feature of this equation is that the wave energy initially confined to a narrow band of wave numbers continues to be confined to a limited region in the wave number space. Unlike the three-dimensional nonlinear evolution equation available in the literature, the equation obtained in this paper may, therefore, be adequate for the description of the evolution of the three-dimensional modulations.
Nuovo Cimento Della Societa Italiana Di Fisica B-General Physics Relativity Astronomy and Mathematical Physics and Methods
Shivamoggi, B. K. and Debnath, L., "Three-Dimensional Nonlinear Schrodinger Equation For Finite-Amplitude Gravity Waves In A Fluid" (1986). Faculty Bibliography 1980s. 544.