Analytic soliton solutions to the shallow water dispersive long gravity wave equations: the first integral approach in nonlinear physics
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DOI: 10.1088/1402-4896/ad5fcf
Abstract: In this article, we investigate the (2+1)-dimensional dispersive long water wave equation and the (1+1)-dimensional Phi-four equation, which describe the behavior of long gravity waves with small amplitudes, long wave propagation in oceans and seas,… read more here.
Keywords: water; long gravity; first integral; dispersive long ... See more keywords
Variational theory for (2+1)-dimensional fractional dispersive long wave equations
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DOI: 10.2298/tsci200301023c
Abstract: This paper extends the (2+1)-dimensional Eckhaus-type dispersive long wave equations in continuous medium to their fractional partner, which is a model of non-linear waves in fractal porous media. The derivation is shown briefly using He’s… read more here.
Keywords: long wave; dispersive long; variational theory; theory dimensional ... See more keywords