Explicit solutions of the fifth-order KdV type nonlinear evolution equation using the system technique

Results in Physics ◽

10.1016/j.rinp.2016.11.030 ◽

2016 ◽

Vol 6 ◽

pp. 992-997 ◽

Author(s):

Hyunsoo Kim ◽

Sunmi Lee

Keyword(s):

Evolution Equation ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Explicit Solutions ◽

System Technique ◽

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Abundant closed-form solutions and solitonic structures to an integrable fifth-order generalized nonlinear evolution equation in plasma physics

Results in Physics ◽

10.1016/j.rinp.2021.104453 ◽

2021 ◽

pp. 104453

Author(s):

Sachin Kumar ◽

Hassan Almusawa ◽

Ihsanullah Hamid ◽

M.A. Abdou

Keyword(s):

Evolution Equation ◽

Plasma Physics ◽

Closed Form ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Closed Form Solutions ◽

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Exact Explicit Solutions of a Nonlinear Evolution Equation

British Journal of Mathematics & Computer Science ◽

10.9734/bjmcs/2015/15751 ◽

2015 ◽

Vol 7 (5) ◽

pp. 308-318

Author(s):

Zhengyong Ouyang ◽

Shan Zheng

Keyword(s):

Evolution Equation ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Explicit Solutions

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New solitary wave and multiple soliton solutions for fifth order nonlinear evolution equation with time variable coefficients

Results in Physics ◽

10.1016/j.rinp.2018.01.039 ◽

2018 ◽

Vol 8 ◽

pp. 977-980 ◽

Author(s):

H.M. Jaradat ◽

Muhammed Syam ◽

M. Jaradat ◽

Zead Mustafa ◽

S. Momani

Keyword(s):

Solitary Wave ◽

Evolution Equation ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Soliton Solutions ◽

Variable Coefficients ◽

Time Variable ◽

Multiple Soliton Solutions ◽

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Chaotic Behaviour of Nonlinear Evolution Equation with Fifth Order Dispersion

Journal of the Physical Society of Japan ◽

10.1143/jpsj.51.3028 ◽

1982 ◽

Vol 51 (9) ◽

pp. 3028-3035 ◽

Author(s):

Kazuyoshi Yoshimura ◽

Shinsuke Watanabe

Keyword(s):

Evolution Equation ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Chaotic Behaviour ◽

Fifth Order ◽

Order Dispersion

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Darboux transformation of a nonlinear evolution equation and its explicit solutions

Acta Mathematica Scientia ◽

10.1016/s0252-9602(11)60331-7 ◽

2011 ◽

Vol 31 (4) ◽

pp. 1457-1464 ◽

Author(s):

Li Wenmin ◽

Han Youpan ◽

Zhou Gaojun

Keyword(s):

Evolution Equation ◽

Darboux Transformation ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Explicit Solutions

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Hamiltonian Structure, Soliton Solution and Conservation Laws for a New Fifth-Order Nonlinear Evolution Equation Which Describes Pseudo-Spherical Surfaces

American Journal of Computational Mathematics ◽

10.4236/ajcm.2017.72015 ◽

2017 ◽

Vol 07 (02) ◽

pp. 166-174

Author(s):

S. M. Sayed ◽

N. O. Al-Atawi

Keyword(s):

Evolution Equation ◽

Conservation Laws ◽

Soliton Solution ◽

Nonlinear Evolution Equation ◽

Hamiltonian Structure ◽

Nonlinear Evolution ◽

Spherical Surfaces ◽

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Bilinear Bäcklund transformation and explicit solutions for a nonlinear evolution equation

Chinese Physics B ◽

10.1088/1674-1056/19/4/040304 ◽

2010 ◽

Vol 19 (4) ◽

pp. 040304 ◽

Author(s):

Wu Yong-Qi

Keyword(s):

Evolution Equation ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Bäcklund Transformation ◽

Explicit Solutions ◽

Backlund Transformation ◽

Bilinear Bäcklund Transformation

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Bilinear auto-Bäcklund transformations and soliton solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow water waves

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107301 ◽

2021 ◽

pp. 107301

Author(s):

Yuan Shen ◽

Bo Tian

Keyword(s):

Evolution Equation ◽

Shallow Water ◽

Water Waves ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Soliton Solutions ◽

Bäcklund Transformations ◽

Shallow Water Waves ◽

Backlund Transformations

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Existence results for a nonlinear evolution equation containing a composition of two monotone operators

GAMM-Mitteilungen ◽

10.1002/gamm.201110011 ◽

2011 ◽

Vol 34 (1) ◽

pp. 70-75

Author(s):

Nataliya Kraynyukova

Keyword(s):

Evolution Equation ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Monotone Operators ◽

Existence Results

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The singular solutions of a nonlinear evolution equation taking continuous part of the spectral data into account in inverse scattering method

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2012.02.019 ◽

2012 ◽

Vol 45 (6) ◽

pp. 846-852 ◽

Author(s):

V.O. Vakhnenko ◽

E.J. Parkes

Keyword(s):

Evolution Equation ◽

Spectral Data ◽

Inverse Scattering ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Inverse Scattering Method ◽

Singular Solutions ◽

Scattering Method ◽

Continuous Part

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