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Cited by 210 publications
(244 citation statements)
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“…Generally (2) is not integrable by the classical method of Inverse Scattering Transform [9]. It is always useful and desirable to construct exact analytical solutions (in particular soliton solutions) for the understanding of nonlinear physical phenomena.…”
Section: Governing Equationmentioning
confidence: 99%
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“…Generally (2) is not integrable by the classical method of Inverse Scattering Transform [9]. It is always useful and desirable to construct exact analytical solutions (in particular soliton solutions) for the understanding of nonlinear physical phenomena.…”
Section: Governing Equationmentioning
confidence: 99%
“…For other example, they also appear in shallow water wave flow, plasma physics, nuclear physics, oceanography, theoretical physics and among others [8,9,10,11,12,13].…”
Section: Introductionmentioning
confidence: 99%
“…while m can be determined by partially balancing the highest degree nonlinear term and the derivative terms of higher order in (21). Here it is determined as m = 1.…”
Section: New Explicit and Exact Travelling Wave Solutions Of (1)mentioning
confidence: 99%
“…The nonlinear Schrödinger's equation (NLSE) is the main equation that studies this process [1]. There are various variants of this equation that also models this physical phenomena depending on the nonlinear perturbation effects.…”
Section: Introductionmentioning
confidence: 99%