A New Integrable Nonlinear Evolution Equation

Progress of Theoretical Physics ◽

10.1143/ptp.63.808 ◽

1980 ◽

Vol 63 (3) ◽

pp. 808-820 ◽

Author(s):

T. Shimizu ◽

M. Wadati

Keyword(s):

Evolution Equation ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Integrable Nonlinear Evolution Equation

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Generalized W∞ symmetry algebra of the conditionally integrable nonlinear evolution equation

Journal of Mathematical Physics ◽

10.1063/1.530975 ◽

1995 ◽

Vol 36 (7) ◽

pp. 3492-3497 ◽

Author(s):

Sen‐yue Lou ◽

Jian‐ping Weng

Keyword(s):

Evolution Equation ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Symmetry Algebra ◽

Integrable Nonlinear Evolution Equation

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Cusp Soliton of a New Integrable Nonlinear Evolution Equation

Progress of Theoretical Physics ◽

10.1143/ptp.64.1959 ◽

1980 ◽

Vol 64 (6) ◽

pp. 1959-1967 ◽

Author(s):

M. Wadati ◽

Y. H. Ichikawa ◽

T. Shimizu

Keyword(s):

Evolution Equation ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Integrable Nonlinear Evolution Equation

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Inverse Scattering Method for a New Integrable Nonlinear Evolution Equation under Nonvanishing Boundary Conditions

Journal of the Physical Society of Japan ◽

10.1143/jpsj.51.2312 ◽

1982 ◽

Vol 51 (7) ◽

pp. 2312-2317 ◽

Author(s):

J. Choudhury

Keyword(s):

Evolution Equation ◽

Boundary Conditions ◽

Inverse Scattering ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Inverse Scattering Method ◽

Scattering Method ◽

Integrable Nonlinear Evolution Equation

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Response to “Comment on ‘Generalized W∞ symmetry algebra of the conditionally integrable nonlinear evolution equation’ ” [J. Math. Phys. 40, 3685 (1999)]

Journal of Mathematical Physics ◽

10.1063/1.532917 ◽

1999 ◽

Vol 40 (7) ◽

pp. 3691-3692

Author(s):

Sen-yue Lou ◽

Jian-ping Weng

Keyword(s):

Evolution Equation ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Symmetry Algebra ◽

Math Phys ◽

Integrable Nonlinear Evolution Equation

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Comment on “Generalized W∞ symmetry algebra of the conditionally integrable nonlinear evolution equation” [J. Math. Phys.36, 3492 (1995)]

Journal of Mathematical Physics ◽

10.1063/1.532916 ◽

1999 ◽

Vol 40 (7) ◽

pp. 3685-3690 ◽

Author(s):

Wen-Xiu Ma

Keyword(s):

Evolution Equation ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Symmetry Algebra ◽

Math Phys ◽

Integrable Nonlinear Evolution Equation

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Initial-Boundary Value Problem for Integrable Nonlinear Evolution Equation with 3 × 3 Lax Pairs on the Interval

Studies in Applied Mathematics ◽

10.1111/sapm.12108 ◽

2016 ◽

Vol 136 (3) ◽

pp. 321-354 ◽

Author(s):

Jian Xu ◽

Engui Fan

Keyword(s):

Evolution Equation ◽

Boundary Value Problem ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Lax Pairs ◽

Initial Boundary Value ◽

Integrable Nonlinear Evolution Equation

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Exact traveling wave solutions for an integrable nonlinear evolution equation given by M. Wadati

Applied Mathematics and Mechanics ◽

10.1007/s10483-008-0402-y ◽

2008 ◽

Vol 29 (4) ◽

pp. 437-440 ◽

Author(s):

Ji-bin Li

Keyword(s):

Evolution Equation ◽

Traveling Wave ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Traveling Wave Solutions ◽

Exact Traveling Wave Solutions ◽

Wave Solutions ◽

Integrable Nonlinear Evolution Equation

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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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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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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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