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Analysis of fractional solitary wave propagation with parametric effects and qualitative analysis of the modified Korteweg-de Vries-Kadomtsev-Petviashvili equation. [PDF]
Muhammad J +6 more
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Darboux transformations for Lamé potentials
Czechoslovak Journal of Physics, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Negro, Javier +2 more
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Darboux transformations for “W-problems”
Physica D: Nonlinear Phenomena, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Steudel, H., Meinel, R.
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On the Darboux Transformation. I
gmj, 1995Abstract Automorphisms of the family of all Sturm-Liouville equations y″ = qy are investigated. The classical Darboux transformation arises as a particular case of a general result.
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Dressing methodvs. classical Darboux transformation
Il Nuovo Cimento B Series 11, 1984In this paper we recall some of the essential properties of the classical Darboux transformation and establish its equivalence with the dressing method. In this way we can elucidate and co-ordinate different notions existing in the literature, like Darboux matrix, Darboux transformation and Backlund transformation, which, although being different, are ...
LEVI, Decio, RAGNISCO, Orlando, SYM A.
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2002
12.1 Ricati equations 12.2 Constant mean curvature surfaces in \({\mathbb{R}}^3\) 12.3 Darboux transforms of Willmore ...
Francis E. Burstall +4 more
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12.1 Ricati equations 12.2 Constant mean curvature surfaces in \({\mathbb{R}}^3\) 12.3 Darboux transforms of Willmore ...
Francis E. Burstall +4 more
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Two-sided Darboux transformations
Theoretical and Mathematical Physics, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shabat, A. B. +2 more
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Commutation and Darboux transformation
Pramana, 2015In this paper we show that the Darboux transformation for a large class of nonlinear evolution equations arises due to factorization and commutation. The factorization and commutation has been pointed out earlier for Schrodinger operator. We show that it extends to a large class of nonlinear differential equations which admit Lax pairs including ...
M V PRABHAKAR, H BHATE
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Higher dimensional Darboux transformations
Journal of Mathematical Analysis and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hovhannisyan, Gro +2 more
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On multidimensional Darboux transformations
Inverse Problems, 1998Summary: In contrast to known results on one-dimensional Darboux transformations, results on multidimensional Darboux transformations do not seem convenient for disentangling the sets of solutions in global inverse problems. In the present paper, first, we give a broad generalization of vectorial Darboux transformations and a more limited ...
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