Abstract
The nonlinear Schrödinger equation describing the evolution of the plane wave solutions of the Hirota equation and of the Boussinesq equation are obtained. The conditions for modulational instability and the localised stationary solutions are derived.
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References
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Sharma, A.S., Buti, B. Modulational instability and envelope solutions of nonlinear dispersive wave equations. Pramana - J Phys 10, 447–452 (1978). https://doi.org/10.1007/BF02894698
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DOI: https://doi.org/10.1007/BF02894698