Geodesic
Complexiton solutions for complex KdV equation by optimal homotopy asymptotic method
Filomat, Tome 33 (2019) no. 19, p. 6195

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DOI

In this article an innovative technique named as Optimal Homotopy Asymptotic Method has been explored to treat system of KdV equations computed from complex KdV equation. By developing special form of initial value problems to complex KdV equation, three different types of semi analytic complextion solutions from complex KdV equation have been achieved. First semi analytic position solution received from trigonometric form of initial value problem, second is semi analytic negation solution received by hyperbolic form of initial value problem and third one is special type of semi analytic solution expressed by the combination of trigonometric and hyperbolic functions. It was proved that only first order OHAM solution is accurate to the closed-form solution.
DOI : 10.2298/FIL1919195Z
Classification : 74G10
Keywords: Optimal homotopy asymptotic method, Complex KdV equations, Semi analytic complexiton solution 
Samina Zuhra; Noor Saeed Khan; Saeed Islam; Rashid Nawaz. Complexiton solutions for complex KdV equation by optimal homotopy asymptotic method. Filomat, Tome 33 (2019) no. 19, p. 6195 . doi: 10.2298/FIL1919195Z
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     title = {Complexiton solutions for complex {KdV} equation by optimal homotopy asymptotic method},
     journal = {Filomat},
     pages = {6195 },
     year = {2019},
     volume = {33},
     number = {19},
     doi = {10.2298/FIL1919195Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1919195Z/}
}
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