Coupled Higgs field equation and Hamiltonian amplitude equation: Lie classical approach and (G′/G)-expansion method

This paper applies the G /G-expansion algorithm to obtain optical soliton solutions to the governing nonlinear Schrödinger's equation that is considered with spatio-temporal dispersion. There are four forms of nonlinear media that are being studied. They are Kerr law, power law, parabolic law and dual-power law. These soliton solutions will exist provided the constraints, that naturally emerge from the computation, remain valid.

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“…We now summarize the G /G-expansion method, established in 2011, 4 the details of which can be found in Refs. [7,10,13,17] among many others.…”

Section: The G /G-expansion Methodsmentioning

confidence: 99%

Optical Solitons with Spatio-Temporal Dispersion by G′/G-Expansion Method

Biswas¹,

Mirzazadeh²,

Zhou³

et al. 2015

j comput theor nanosci

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“…Many authors have tackled numerous methods to find exact solutions of the new Hamiltonian amplitude equation such as the general projective Riccati equation method [24], the sinh-Gordon expansion method [25], the extended F-expansion method [26], the first integral method [27], the G / G ′ -expansion method [28], the functional variable method [29], Lie symmetry method [30], the simplest equation method [31], He's semi-inverse variational principle method and Ansatz method [32], modified simplest equation method [33].…”

Section: Open Accessmentioning

confidence: 99%

“…Firstly, we consider the following new Hamiltonian amplitude equation [22][23][24][25][26][27][28][29][30][31][32][33]:…”

Section: Open Accessmentioning

confidence: 99%

New Exact Solutions of the New Hamiltonian Amplitude-Equation and Fokas Lenells Equation

Demiray

2015

Entropy

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“…The inclusion of STD only makes the model well-posed as pointed out during 2012 [5,8]. Another aspect for considering STD, in addition to GVD, is the reduction of Internet bottleneck.…”

Section: Introductionmentioning

confidence: 99%

“…From the imaginary part equation(8), upon setting the coefficients of the linearly independent function to zero yields the speed of the soliton as ( )…”

mentioning

confidence: 99%