DOI10.1088/0305-4470/31/47/011zbMath0985.37073OpenAlexW2066396442MaRDI QIDQ3836127
Nikolay A. Kudryashov, Andrew Pickering
Publication date: 6 December 1999
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/31/47/011
On matrix Painlevé hierarchies,
On the similarity reduction solutions of the Bogoyavlenskii equation,
Solution classes of the matrix second Painlevé hierarchy,
Analytical solutions of the \((2 + 1)\)-dimensional space-time fractional Bogoyavlenskii's breaking soliton equation,
Exact solutions of the Bogoyavlenskii equation using the multiple \((\frac{G'}{G})\)-expansion method,
Localized waves and interaction solutions to the fractional generalized CBS-BK equation arising in fluid mechanics,
Lax pairs and special polynomials associated with self-similar reductions of Sawada -- Kotera and Kupershmidt equations,
Hierarchies of Difference Equations and Bäcklund Transformations,
A new approach for seeking coefficient function solutions of conformable fractional partial differential equations based on the Jacobi elliptic equation,
Weak nonlinear asymptotic solutions for the fourth order analogue of the second Painlevé equation,
Bäcklund transformations for a matrix second Painlevé equation,
Rational solutions of equations associated with the second Painlevé equation,
Generalized Qiao hierarchy in \(2+1\) dimensions: reciprocal transformations, spectral problem and non-isospectrality,
Application of the \((\frac{G'}{G})\)-expansion method for nonlinear evolution equations,
Traveling wave reduction of the modified KdV hierarchy: the Lax pair and the first integrals,
Computational and numerical solutions for \((2+1)\)-dimensional integrable Schwarz-Korteweg-de Vries equation with Miura transform,
On matrix fourth Painlevé hierarchies,
New solutions of the Schwarzian Korteweg-de Vries equation in \(2+1\) dimensions based on weak symmetries,
Non-Isospectral 1+1 Hierarchies Arising from a Camassa Holm Hierarchy in 2+1 Dimensions,
Multiple rogue wave and solitary solutions for the generalized BK equation via Hirota bilinear and SIVP schemes arising in fluid mechanics,
Dynamical behavior of traveling wave solutions for a \((2+1)\)-dimensional Bogoyavlenskii coupled system,
Rational and special solutions for some Painlevé hierarchies,
Exact solutions of the fractional Sharma-Tasso-Olver equation and the fractional Bogoyavlenskii's breaking soliton equations,
The Yablonskii-Vorob'ev polynomials for the second Painlevé hierarchy,
Multiple solutions for the Schwarzian Korteweg-de Vries equation in \((2+1)\) dimensions,
Lax pair and first integrals of the traveling wave reduction for the KdV hierarchy,
On an extended second Painlevé hierarchy,
A Generalization of the Sine-Gordon Equation to 2 + 1 Dimensions,
Lax pairs for one of hierarchies similar to the first Painlevé hierarchy,
On Lie symmetries and soliton solutions of \((2+1)\)-dimensional Bogoyavlenskii equations,
A note on solutions of the Korteweg-de Vries hierarchy,
Auto-Bäcklund transformations for a matrix partial differential equation,
Modified extended tanh-function method and its applications to the Bogoyavlenskii equation,
Lax pairs and rational solutions of similarity reductions for Kupershmidt and Sawada-Kotera hierarchies,
Miura-reciprocal transformations for non-isospectral Camassa-Holm hierarchies in 2 + 1 dimensions,
Lax Pairs and First Integrals for Autonomous and Non-Autonomous Differential Equations Belonging to the Painlevé – Gambier List
