Painleve property and pseudopotentials for nonlinear evolution equations
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Publication:3469582
DOI10.1088/0305-4470/22/15/009zbMath0694.35160OpenAlexW2059883785MaRDI QIDQ3469582
Publication date: 1989
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/22/15/009
Nonlinear parabolic equations (35K55) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (21)
KdV extensions with Painlevé property ⋮ A Super mKdV Equation: Bosonization, Painlevé Property and Exact Solutions ⋮ The residual symmetry and exact solutions of the Davey-Stewartson III equation ⋮ Solitons for a \((2+1)\)-dimensional Sawada-Kotera equation via the Wronskian technique ⋮ Bäcklund transformations for the Degasperis-Procesi equation ⋮ Soliton interactions of integrable models ⋮ Unfamiliar aspects of Bäcklund transformations and an associated Degasperis-Procesi equation ⋮ Conformal properties and Bäcklund transform for the associated Camassa-Holm equation ⋮ The investigation into the Schwarz–Korteweg–de Vries equation and the Schwarz derivative in (2+1) dimensions ⋮ Infinitely many Lax pairs and symmetry constraints of the KP equation ⋮ Approximating pseudopotentials for evolution equations containing a small parameter ⋮ Plenty of novel interaction structures of soliton molecules and asymmetric solitons to (2 + 1)-dimensional Sawada-Kotera equation ⋮ Interaction behaviors for the \((2+1)\)-dimensional Sawada-Kotera equation ⋮ New bilinear Bäcklund transformation with multisoliton solutions for the (2+1)-dimensional Sawada-Kotera model ⋮ Higher dimensional Painlevé integrable models from the Kadomtsev–Petviashvili equation ⋮ Novel characteristics of lump and lump-soliton interaction solutions to the generalized variable-coefficient Kadomtsev-Petviashvili equation ⋮ A simple-looking relative of the Novikov, Hirota-Satsuma and Sawada-Kotera equations ⋮ MULTI-SOLITON SOLUTIONS AND THEIR INTERACTIONS FOR THE (2+1)-DIMENSIONAL SAWADA-KOTERA MODEL WITH TRUNCATED PAINLEVÉ EXPANSION, HIROTA BILINEAR METHOD AND SYMBOLIC COMPUTATION ⋮ Deformation and \((3+1)\)-dimensional integrable model ⋮ Bell-polynomial manipulations on the Bäcklund transformations and Lax pairs for some soliton equations with one Tau-function ⋮ Lump Solutions and Interaction Phenomenon for (2+1)-Dimensional Sawada–Kotera Equation
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