2012
DOI: 10.1142/s0218863512500543
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Abstract: This paper studies the perturbation of the improved version of the nonlinear Schrödinger's equation that governs the propagation of solitons through nonlinear optical fibers. The semi-inverse variational principle is employed in order to obtain an analytical soliton solution in presence of the perturbation terms. There are three types of nonlinearity that will be studied. They are Kerr law, power law and the log law. The constraint conditions will naturally fall out in order for the soliton solutions to exist.… Show more

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Cited by 51 publications
(20 citation statements)
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“…The definition of τ stays the same as in (4). For this case, the parameters A and B are free parameters while v is the velocity of the shock wave.…”
Section: Shock Wavesmentioning
confidence: 99%
See 4 more Smart Citations
“…The definition of τ stays the same as in (4). For this case, the parameters A and B are free parameters while v is the velocity of the shock wave.…”
Section: Shock Wavesmentioning
confidence: 99%
“…They will naturally fall out during the course of derivation of the solution. Therefore, in order to solve equation (1), the starting hypothesis is taken to be [4,8,11] q(…”
Section: Semi-inverse Variational Principlementioning
confidence: 99%
See 3 more Smart Citations