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Cited by 30 publications
(15 citation statements)
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“…By (20) and 21, then (18) is the solutions of Equation (17). Similarly, we can obtain that the proof of (19).…”
Section: Methods Of Fractional Riccati Expansionmentioning
confidence: 99%
“…By (20) and 21, then (18) is the solutions of Equation (17). Similarly, we can obtain that the proof of (19).…”
Section: Methods Of Fractional Riccati Expansionmentioning
confidence: 99%
“…Some examples of approaches for obtaining approximate solutions in an analytical form to NPDEs are the Adomian decomposition method (ADM) [1,2], the variational iteration method (VIM) [3,4], the differential transform method (DTM) [5], and the homotopy perturbation method (HPM) [6,7]. Some algorithms for obtaining explicit exact solutions of NPDEs are, for instance, the ( G G )-expansion method [8,9], the ( G G , 1 G )-expansion method [10], the fractional Riccati expansion method [11,12], the improved extended tanh-coth method [13], the Kudryashov method [14,15], and the sub-equation method [16,17]. All of the above methods are based on the homogeneous balance principle.…”
Section: Introductionmentioning
confidence: 99%
“…The considered models are mRLW, (1+2) dimensional pKP and the (1+2) dimensional dispersive long wave (DLW) system. The mRLW presents a long surface gravity wave of small amplitude and high wave number [16,17]. The pKP equation explains water waves that have a long wave length, especially water waves that have frequency dispersion and weak non-linear restoring forces [18] and the DLW system describes how waves with different lengths move at different velocities.…”
Section: Introductionmentioning
confidence: 99%