A unified explicit form of Bäcklund transformations for generalized hierarchies of KdV equations
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Publication:1084263
DOI10.1007/BF00574158zbMath0605.35077OpenAlexW2019403379MaRDI QIDQ1084263
Publication date: 1986
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00574158
Related Items (13)
On the Bäcklund transformations for the generalized hierarchies of compound MKdV-SG equations ⋮ Integrable evolution systems based on generalized self-dual Yang-Mills equations and their soliton-like solutions ⋮ On the Darboux matrices of Bäcklund transformations for AKNS systems ⋮ Solution of a nonisospectral and variable coefficient Korteweg-de Vries equation ⋮ Remarks on matrix hierarchies, d bar dressing, and the spectral transform ⋮ Parameter region for existence of solitons in generalized KdV equation ⋮ Evolution of the scattering data under the classical Darboux transform for \(su(2)\) soliton systems ⋮ Darboux and Bäcklund transformations for the nonisospectral KP equation ⋮ On the interaction of solitons for a class of integrable systems in the spacetime \(\mathbb{R}^{n+1}\) ⋮ Darboux transformation and soliton-like solutions of nonlinear Schrödinger equations ⋮ Bäcklund transformations for the isospectral and nonisospectral AKNS hierarchies ⋮ Canonical explicit Bäcklund transformations with spectrality for constrained flows of soliton hierarchies ⋮ A Note on the Transformation of Variables of KP Equation, Cylindrical KP Equation and Spherical KP Equation
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