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On traveling wave solutions to combined KdV–mKdV equation and modified Burgers–KdV equation
Communications in Nonlinear Science and Numerical Simulation, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Symmetries of the KdV equation and four hierarchies of the integrodifferential KdV equations
Journal of Mathematical Physics, 1994Using the inverse strong symmetry of the Korteweg–de Vries (KdV) equation on the trivial symmetry and τ0 symmetry, one gets four new sets of symmetries of the KdV equation. These symmetries are expressed explicitly by the multi-integrations of the Jost function of the KdV equation and constitute an infinite dimensional Lie algebra together with two ...
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The Korteweg-de Vries Equation (KdV-Equation)
1981This is the classic example of an equation which exhibits solitons. Methods which are applicable to a large class of equations which exhibit solitons will be derived from the study of this equation and its properties, and we therefore devote a rather large part of this book to this topic.
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Conserved quantities for generalized kdv equations
Lettere al Nuovo Cimento, 1980CALOGERO, Francesco +1 more
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On the Bäcklund Transformations of KDV Equations and Modified KDV Equations
1989Shiing-shen Chern, Chia-kuei Peng
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