13 research outputs found
New complex solutions for some special nonlinear partial differential systems
Get PDFAbstractIn this present work, we explore new applications of direct algebraic method for some special nonlinear partial differential systems and equations. Then new types of complex travelling wave solutions are obtained to the DaveyâStewartson system, the coupled Higgs system and the perturbed nonlinear Schrodingerâs equation; the balance number of it is not a positive integer
Corrigendum to: âNew soliton solutions to the (3+1)-dimensional JimboâMiwa equationâ [Optik 126 (23) (2015) 4718â4722]
No full textNew solution algorithm of coupled nonlinear system of Schrodinger equations
No full textIn this article, new extension of the generalized and improved homogeneous balance method is proposed for constructing new structure of rich class of exact travelling wave solutions of nonlinear evolution equations by using the Maple package. To demonstrate the novelty and motivation of the proposed method, we implement it to the coupled nonlinear system of Schrodinger equations. It is shown that the method provides a powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. Keywords: Coupled nonlinear system of Schrodinger equations, Homogeneous balance method, Travelling wave solution
Topological soliton solutions to the coupled SchrodingerâBoussinesq equation by the SEM
No full textComparison of Caputo and conformable derivatives for time-fractional Kortewegâde Vries equation via the finite difference method
No full textThe <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mrow><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:mo>âČ</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:mfrac></mml:mrow></mml:mfenced></mml:mrow></mml:mrow></mml:math>-expansion method for (2+1)-dimensional KadomtsevâPetviashvili equation
No full textSolitary wave solutions for some nonlinear time-fractional partial differential equations
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The generalized Kudryashov method for new closed form traveling wave solutions to some NLEEs
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