On the $$\bar\partial$$-problem and dressing method for the complex vector modified KdV equation

Theoretical and Mathematical Physics ◽

10.1134/s0040577921110064 ◽

2021 ◽

Vol 209 (2) ◽

pp. 1579-1598

Author(s):

Jia Cheng ◽

Shou-Fu Tian ◽

Zhi-Jia Wu

Keyword(s):

Kdv Equation ◽

Complex Vector ◽

Dressing Method ◽

Modified Kdv Equation

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Painlevé-type asymptotics of an extended modified KdV equation in transition regions

Journal of Differential Equations ◽

10.1016/j.jde.2021.01.020 ◽

2021 ◽

Vol 280 ◽

pp. 203-235

Author(s):

Nan Liu ◽

Boling Guo

Keyword(s):

Kdv Equation ◽

Modified Kdv Equation

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Soliton resolution for the focusing modified KdV equation

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2021.02.008 ◽

2021 ◽

Author(s):

Gong Chen ◽

Jiaqi Liu

Keyword(s):

Kdv Equation ◽

Modified Kdv Equation

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Bespoke finite difference methods that preserve two local conservation laws of the modified KdV equation

10.1063/1.5114131 ◽

2019 ◽

Author(s):

Gianluca Frasca-Caccia

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Kdv Equation ◽

Finite Difference Methods ◽

Local Conservation ◽

Modified Kdv Equation ◽

Difference Methods

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Graded differential geometry in REDUCE: Supersymmetry structures of the modified KdV equation

Acta Applicandae Mathematicae ◽

10.1007/bf00047044 ◽

1991 ◽

Vol 24 (3) ◽

pp. 211-231 ◽

Author(s):

P. K. H. Gragert ◽

P. H. M. Kersten

Keyword(s):

Differential Geometry ◽

Kdv Equation ◽

Modified Kdv Equation

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New binary travelling-wave periodic solutions for the modified KdV equation

Physics Letters A ◽

10.1016/j.physleta.2007.08.043 ◽

2008 ◽

Vol 372 (7) ◽

pp. 969-977 ◽

Author(s):

Zhenya Yan

Keyword(s):

Periodic Solutions ◽

Kdv Equation ◽

Travelling Wave ◽

Modified Kdv Equation

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Explicit solutions to the semi-discrete modified KdV equation and motion of discrete plane curves

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/45/4/045206 ◽

2012 ◽

Vol 45 (4) ◽

pp. 045206 ◽

Author(s):

Jun-ichi Inoguchi ◽

Kenji Kajiwara ◽

Nozomu Matsuura ◽

Yasuhiro Ohta

Keyword(s):

Kdv Equation ◽

Plane Curves ◽

Explicit Solutions ◽

Modified Kdv Equation

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Local well-posedness for the modified KdV equation in almost critical $\widehat {H^r_s}$-spaces

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-09-04611-x ◽

2009 ◽

Vol 361 (11) ◽

pp. 5681-5694 ◽

Author(s):

Axel Grünrock ◽

Luis Vega

Keyword(s):

Kdv Equation ◽

Well Posedness ◽

Modified Kdv Equation

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An application for a modified KdV equation by the decomposition method and finite element method

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.11.017 ◽

2005 ◽

Vol 169 (2) ◽

pp. 971-981 ◽

Author(s):

Turabi Geyikli ◽

Dogˇan Kaya

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Decomposition Method ◽

Kdv Equation ◽

Modified Kdv Equation ◽

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A new integrable equation combining the modified KdV equation with the negative-order modified KdV equation: multiple soliton solutions and a variety of solitonic solutions

Waves in Random and Complex Media ◽

10.1080/17455030.2017.1367440 ◽

2017 ◽

Vol 28 (3) ◽

pp. 533-543 ◽

Author(s):

Abdul-Majid Wazwaz

Keyword(s):

Kdv Equation ◽

Soliton Solutions ◽

Integrable Equation ◽

Multiple Soliton Solutions ◽

Negative Order ◽

Modified Kdv Equation

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Symmetries for the super modified KdV equation

Journal of Mathematical Physics ◽

10.1063/1.528193 ◽

1988 ◽

Vol 29 (10) ◽

pp. 2187-2189 ◽

Author(s):

P. H. M. Kersten

Keyword(s):

Kdv Equation ◽

Modified Kdv Equation

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