Terkko Navigator / Theoretical and mathematical physics

A class of reductions of the two-component KP hierarchy and the Hirota–Ohta system

Quantum adiabatic theorem with energy gap regularization

Cauchy matrix scheme for semidiscrete lattice Korteweg–de Vries-type equations

Darboux transformation and exact solutions of the variable-coefficient nonlocal Gerdjikov–Ivanov equation

A new class of spherically symmetric gravitational collapse

Quasiperiodic solutions of an extended MKdV hierarchy

Functional approach to a Gelfand–Tsetlin-type basis for $$\mathfrak{o}_5$$

Integration of a defocusing nonlinear Schrödinger equation with additional terms

Deformed ladder operators for the generalized one- and two-mode squeezed harmonic oscillator in the presence of a minimal length

Anisotropic solution of the holographic model of light quarks with an external magnetic field

Discrete second-order Ablowitz–Kaup–Newell–Segur equation and its modified form

Interaction between subbands in a quasi-one-dimensional superconductor

Uniqueness of the Pohlmeyer–Lund–Regge system

Integration of the differential–difference sine-Gordon equation with a self-consistent source

Extremality of translation-invariant Gibbs measures for the $$\lambda$$ -model on the binary Cayley tree

Geometric model of the formation of superdiffusion processes

On the Riemann–Hilbert problem of the matrix Lakshmanan–Porsezian–Daniel system with a $$4\times4$$ AKNS-type matrix Lax pair

From the Wigner function to the $$s$$ -ordered phase-space distribution via a Gaussian noise channel

Dispersion relation in the kinetic model of collisionless plasma

Integrable super extensions of $$K(-2,-2)$$ equation

Riemann–Hilbert approach and $$N$$ -soliton solutions of the generalized mixed nonlinear Schrödinger equation

Split Casimir operator and solutions of the Yang–Baxter equation for the $$osp(M|N)$$ and $$s\ell(M|N)$$ Lie superalgebras, higher Casimir operators, and the Vogel parameters

Bäcklund transformation and applications for the Vakhnenko equation

On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree

Multisoliton and rational solutions for the extended fifth-order KdV equation in fluids with self-consistent sources

On the nonclassicality in quantum JT gravity

Multitime propagators and the consistency condition

Vertex electrical model: Lagrangian and nonnegativity properties

Diagonal reduction algebra for $$\mathfrak{osp}(1|2)$$

Free oscillator realization of Laguerre polynomials

Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree

On two direct limits relating pseudo-Jacobi polynomials to Hermite polynomials and the pseudo-Jacobi oscillator in a homogeneous gravitational field

Dynamics of kink-soliton solutions of the $$(2+1)$$ -dimensional sine-Gordon equation

Dynamics of three-dimensional magnetic structures in the Heisenberg model

On the integrability of a four-component super system

The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: Inverse scattering transform and multisoliton solutions

Inverse scattering transform for a nonlocal derivative nonlinear Schrödinger equation

Functional integrals and phase stability properties in the $$O(N)$$ vector field condensation model

Relaxing solitons of a biaxial ferromagnet

Navier–Stokes equations, the algebraic aspect

Differential equations for the Majorana particle in $${3+1}$$ and $${1+1}$$ dimensions

Homothetic vector fields of LRS Bianchi type-I spacetimes via the RIF tree approach

Majorana fermions, supersymmetry, and thermofield dynamics

Nonlinear Evolutionary Schrödinger Equation in the Supercritical Case

Exact spin states and analytic formulas for nonequilibrium spin transport in a three-site one-dimensional system with interacting electrons

On modified $$B$$ KP systems and generalizations

Asymptotics of the spectrum of a Hartree-type operator with a screened Coulomb self-action potential near the upper boundaries of spectral clusters

Application of the $$\bar\partial$$ -dressing method to a $$(2+1)$$ -dimensional equation

The initial-boundary value for the combined Schrödinger and Gerdjikov–Ivanov equation on the half-line via the Riemann–Hilbert approach

Riemann–Hilbert approach and $$N$$ -soliton solutions of the generalized mixed nonlinear Schrödinger equation with nonzero boundary conditions