zbMath0723.34001MaRDI QIDQ4040593
Willi-Hans Steeb, Norbert Euler
Publication date: 5 June 1993
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40)
KdV equations (Korteweg-de Vries equations) (35Q53)
Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)
Analyticity in context of PDEs (35A20)
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)
NLS equations (nonlinear Schrödinger equations) (35Q55)
Explicit solutions, first integrals of ordinary differential equations (34A05)
Ordinary differential equations of infinite order (34A35)
Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)
Hamiltonian and Lagrangian mechanics (70H99)
Other special methods applied to PDEs (35A25)
Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)
New exact solutions for a generalized variable coefficients 2D KdV equation,
On the Lagrangian form of the variational equations of Lagrangian dynamical systems,
Construction of new soliton-like solutions for the (2 + 1) dimensional KdV equation with variable coefficients,
Invariance of the Kaup–Kupershmidt Equation and Triangular Auto-Bäcklund Transformations,
Superintegrable cases of four-dimensional dynamical systems,
Periodic, cross-kink, and interaction between stripe and periodic wave solutions for generalized Hietarinta equation: prospects for applications in environmental engineering,
Symbolic software for soliton theory,
Generic predation in age structure predator-prey models,
Universal expansion of the powers of a derivation,
On Nonlocal Symmetries, Nonlocal Conservation Laws and Nonlocal Transformations of Evolution Equations: Two Linearisable Hierarchies,
The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability,
Lax representation and Kronecker product,
Phase-coupled nonlinear dynamical systems, stability, first integrals, and Lyapunov exponents,
On the integrability properties of a perturbed nonlinear Schrödinger field equation,
Krook-Wu model and integrability,
Complex integrals for 3-dimensional non-Hermitian Hamiltonian systems,
Lie-symmetry vector fields for linear and nonlinear wave equations,
Painlevé test and energy level motion,
Abundant families of Jacobi elliptic function-like solutions for a generalized variable coefficients 2D KdV equation via the extended mapping method,
Classical and quantum integrability for a class of potentials in two dimensions.,
Poisson–Lie groups, bi-Hamiltonian systems and integrable deformations,
Lagrangian description of the variational equations,
Soliton fission and fusion of a new two-component Korteweg-de Vries (KdV) equation,
Non-linear water waves (KdV) equation by Painlevé property and Schwarzian derivative,
Parametrically driven pendulum and exact solutions,
Exact solutions of Fisher and generalized Fisher equations with variable coefficients,
Solitons and rouge waves for a generalized \((3+1)\)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics,
Symbolic computation of the Painlevé test for nonlinear partial differential equations using Maple,
Ordinary differential equations invariant under two-variable Möbius transformations,
Exact solutions of reaction-diffusion systems and nonlinear wave equations,
Singularity analysis and explicit solutions of a new coupled nonlinear Schrödinger type equation,
Painlevé analysis and new analytic solutions for variable-coefficient Kadomtsev-Petviashvili equation with symbolic computation,
A study of integrability and symmetry for the (p + 1)th Boltzmann equation via Painlevé analysis and Lie-group method,
A study of lump and line rogue wave solutions to a (2+1)-dimensional nonlinear equation,
Algebraic decoupling of variables for systems of ODEs of quasipolynomial form,
Nonclassical symmetry reductions of the Boussinesq equation,
Symbolic Software for the Painlevé Test of Nonlinear Ordinary and Partial Differential Equations,
Dynamical invariants for time-dependent real and complex Hamiltonian systems,
Bilinear Form andN-Shock-Wave Solutions for a (2+1)-Dimensional Breaking Soliton Equation in Certain Fluids with the Bell Polynomials and Auxiliary Function,
Invertible point transformations, Painlevé test, and the second Painlevé transcendent
