Combination of Inverse Spectral Transform Method and Method of Characteristics: Deformed Pohlmeyer Equation

DOI10.2991/jnmp.2008.15.s3.42zbMath1362.35010arXiv0709.1196OpenAlexW2032139873MaRDI QIDQ5347016

A. I. Zenchuk

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.1196

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) PDEs in connection with quantum mechanics (35Q40) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (5)

Jacobi spectral solution for integral algebraic equations of index-2 ⋮ On the convergence of multistep collocation methods for integral-algebraic equations of index 1 ⋮ Retracted article: Jacobi spectral solution for integral algebraic equations of index 1 ⋮ Numerical solution of a class of fractional order integro-differential algebraic equations using Müntz-Jacobi tau method ⋮ Unnamed Item

Cites Work

• The general solution of the matrix equation \(w_t + \sum^n_{k=1} w_{x_k}\rho^{(k)}(w) = \rho (w) + [w, T \tilde{\rho}(w)\)]
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Multidimensional hierarchies of (1+1)-dimensional integrable partial differential equations. Nonsymmetric ∂̄-dressing
• A unified dressing method forC- andS-integrable hierarchies; the particular example of a (3 + 1)-dimensionaln-wave equation
• The non-local delta problem and (2+1)-dimensional soliton equations
• Dressing method based on the homogeneous Fredholm equation: quasilinear PDEs in multidimensions
• Partially integrable systems in multi-dimensions by a variant of the dressing method: part 1

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