Frobenius integrable decompositions for ninth-order partial differential equations of specific polynomial type

DOI10.1016/j.amc.2010.03.120zbMath1194.35019OpenAlexW2150138492MaRDI QIDQ984290

Wei Xu, Liang Gao, Wen-Xiu Ma

Publication date: 19 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.120

zbMATH Keywords

ordinary differential equationsconstant coefficientsBäcklund transformationspartial differential equationsdifferential polynomialsFrobenius integrable decompositions

Mathematics Subject Classification ID

Other special methods applied to PDEs (35A25)

Related Items (2)

Frobenius integrable decompositions of nonlinear evolution equations with modified term ⋮ Frobenius integrable decompositions for high-order nonlinear evolution equations

Cites Work

• Partial differential equations possessing Frobenius integrable decompositions
• New families of travelling wave solutions for Boussinesq-Burgers equation and \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
• The modified extended Fan sub-equation method and its application to the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equation
• A multiple Riccati equations rational expansion method and novel solutions of the Broer-Kaup-Kupershmidt system
• Nonsingular positon and complexiton solutions for the coupled KdV system
• Complexiton solutions to integrable equations
• A further improved extended fan sub-equation method and its application to the \((3+1)\)-dimensional Kadomstev-Petviashvili equation
• Complexiton solutions to the Korteweg-de Vries equation
• Rational solutions of the Toda lattice equation in Casoratian form
• Multiple Riccati equations rational expansion method and complexiton solutions of the Whitham-Broer-Kaup equation
• Exact explicit travelling wave solutions for \((n+1)\)-dimensional Klein-Gordon-Zakharov equations
• Exactly fractional solutions of the \((2+1)\)-dimensional modified KP equation via some fractional transformations
• Complexiton solutions of the Korteweg-de Vries equation with self-consistent sources
• Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
• Binary symmetry constraints of N-wave interaction equations in 1+1 and 2+1 dimensions
• An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
• EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS
• New Finite-Dimensional Integrable Systems by Symmetry Constraint of the KdV Equations
• Separation of variables for soliton equations via their binary constrained flows
• Solitary shock waves and other travelling waves in a general compressible hyperelastic rod
• FROBENIUS INTEGRABLE DECOMPOSITIONS FOR TWO CLASSES OF NONLINEAR EVOLUTION EQUATIONS WITH VARIABLE COEFFICIENTS
• An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems
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