Keywords: تغییرات مشابهی; Nonlinear optical fiber system; Generalized variable coefficient Schrödinger equation; Similarity transformation; Rogue wave;
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Keywords: تغییرات مشابهی; Natural convection; Thermal boundary layer; Micropolar fluid; Similarity transformation; Internal heat generation;
Keywords: تغییرات مشابهی; Radial heat conduction; General solution; Similarity transformation; Kummer functions; Line source problem; Stefan problem;
Keywords: تغییرات مشابهی; Magnetic nanofluids jets; Stretching/shrinking wall; Two-phase modeling; Similarity transformation;
Keywords: تغییرات مشابهی; Phase function; Truncation; Similarity transformation; Angle of truncation; delta-M;
Keywords: تغییرات مشابهی; Film boiling; Heat transfer; Similarity transformation; Boundary layer flow; Cylindrical coordinate;
Keywords: تغییرات مشابهی; Ferromagnetic fluid; Thermal radiation; Stretching surface; Similarity transformation; Magneto-thermomechanical parameter; Magnetic dipole;
Keywords: تغییرات مشابهی; Non-Newtonian fluid; Non-Fourier heat transfer; Swirling flow; Similarity transformation; Non-linear numerical analysis;
Keywords: تغییرات مشابهی; 76D10; 76W05; 80A20; 80A99; 82D80Nanofluid; Entropy generation; Similarity transformation; Magnetic field; Stretching sheet
Keywords: تغییرات مشابهی; Complex networks; Self-synchronizing; Inner coupling matrix; Robustness; Similarity transformation
Keywords: تغییرات مشابهی; primary, 62G20; secondary, 62E20Bartlett correction; Composite similarity transformation; Extended empirical likelihood; Estimating equation; Similarity transformation; Two-sample empirical likelihood
Keywords: تغییرات مشابهی; Diabetic retinopathy; Periodic screening; Registration; Orthogonal moment invariants features; Similarity transformation
Keywords: تغییرات مشابهی; Stefan problem; Variable latent heat; Exact solution; Similarity transformation
Keywords: تغییرات مشابهی; Spinor Bose-Einstein condensate; Three-coupled Gross-Pitaevskii equation; Similarity transformation; Hirotaʼs bilinearization method; Bright soliton solution; Soliton interaction;
Keywords: تغییرات مشابهی; 05C50; 52C99; 52B11; 39A14; Framework; Finite graph; Similarity transformation; Moore-Penrose inverse; Linear system;
Integrability conditions and solitonic solutions of the nonlinear Schrödinger equation with generalized dual-power nonlinearities, PT-symmetric potentials, and space- and time-dependent coefficients
Keywords: تغییرات مشابهی; Nonlinear Schroedinger equation; Similarity transformation; Solitons; Integrability;
Excitation of optical rogue waves to a (2+1)-dimensional nonlinear Schrödinger equation in nonlocal optical fibers
Keywords: تغییرات مشابهی; (2+1)-Dimensional nonlocal nonlinear Schrödinger equation; Optical fiber; Similarity transformation; Rogue wave; Excitation;
Non-autonomous matter-wave solitons in hybrid atomic-molecular Bose-Einstein condensates with tunable interactions and harmonic potential
Keywords: تغییرات مشابهی; Matter-wave solitons; Atomic-molecular Bose-Einstein condensates; Similarity transformation; Harmonic potential;
Analytical traveling-wave solutions to a generalized Gross-Pitaevskii equation with some new time and space varying nonlinearity coefficients and external fields
Keywords: تغییرات مشابهی; Generalized Gross-Pitaevskii equation; Similarity transformation; Nonlinearity interactions; Solitons;
Analytical solution to and error analysis of the quaternion based similarity transformation considering measurement errors in both frames
Keywords: تغییرات مشابهی; Similarity transformation; Least-squares; Quaternion; Error analysis; Eigen decomposition;
Generalized similarity transformation method applied to partial differential equations (PDEs) in falling film mass transfer
Keywords: تغییرات مشابهی; Similarity transformation; Modeling; Falling film; Absorption; Solid dissolution;
Superposed nonlinear waves in coherently coupled Bose–Einstein condensates
Keywords: تغییرات مشابهی; Coherently coupled Gross–Pitaevskii equation; Similarity transformation; Solitons; Rogue waves; Breathers (Ma and Akhmediev)
A similarity transformation of velocity field and its application for an in-depth study on laminar free convection heat transfer of gases
Keywords: تغییرات مشابهی; Similarity transformation; Free convection; Temperature parameter model; Heat transfer coefficient; Theoretical equation of Nusselt number; Optimal formalized equation; Accepted experimental correlation
Breather management in the derivative nonlinear Schrödinger equation with variable coefficients
Keywords: تغییرات مشابهی; Derivative nonlinear Schrödinger equation; Similarity transformation; Numerical simulation;
A subspace-based identification of Wiener–Hammerstein benchmark model
Keywords: تغییرات مشابهی; Wiener–Hammerstein system; Linear approximation; Subspace identification; Similarity transformation; Separable least-squares; Basis function expansion
Self-similar rogue waves in an inhomogeneous generalized nonlinear Schrödinger equation
Keywords: تغییرات مشابهی; Rogue wave; Similarity transformation; Recurrence; Annihilation;
A dual quaternion-based, closed-form pairwise registration algorithm for point clouds
Keywords: تغییرات مشابهی; LiDAR; Registration; Similarity transformation; Rigid transformation; Dual quaternions; Geodetic datum;
Modulation of localized solutions for the Schrödinger equation with logarithm nonlinearity
Keywords: تغییرات مشابهی; Nonlinear Schrödinger equation; Logarithm nonlinearity; Similarity transformation; Solitons
Prolongation structures and matter-wave solitons in F=1F=1 spinor Bose–Einstein condensate with time-dependent atomic scattering lengths in an expulsive harmonic potential
Keywords: تغییرات مشابهی; Similarity transformation; Prolongation structure; Linear spectral problem; Gross–Pitaevskii equation; Matter-wave soliton
Semilinear elliptic equations admitting similarity transformations
Keywords: تغییرات مشابهی; 35J25; 35J61; 35J75; Similarity transformation; Isolated singularity; Generalized boundary value problem; Measure data;
Multi-rogue waves for a higher-order nonlinear Schrödinger equation in optical fibers
Keywords: تغییرات مشابهی; Rogue wave; Similarity transformation; Rational solution; Nonlinear Schrödinger equation; Hirota equation;
Solitons in a generalized space- and time-variable coefficients nonlinear Schrödinger equation with higher-order terms
Keywords: تغییرات مشابهی; Generalized higher-order nonlinear Schrödinger equation; Similarity transformation; Periodic and quasi-periodic solitons;
Matter wave soliton solutions of the cubic-quintic nonlinear Schrödinger equation with an anharmonic potential
Keywords: تغییرات مشابهی; Cubic and quintic nonlinearities; Anharmonic potential; Similarity transformation; Localized stationary solution; Matter wave soliton; Linear stability;
Three-dimensional exact solutions of Gross–Pitaevskii equation with variable coefficients
Keywords: تغییرات مشابهی; Exact solution; Gross–Pitaevskii equation; Similarity transformation; Modulated potential; Variable coefficient
A mathematical model of imbibition phenomenon in heterogeneous porous media during secondary oil recovery process
Keywords: تغییرات مشابهی; Counter-current imbibition; Capillary pressure; Heterogeneous porous media; Similarity transformation
Novel rogue waves in an inhomogenous nonlinear medium with external potentials
Keywords: تغییرات مشابهی; Nonlinear Schrödinger equation; External potential; Variable coefficient; Similarity transformation; Rogue wave
Kinematic synthesis of planar, shape-changing, rigid body mechanisms for design profiles with significant differences in arc length
Keywords: تغییرات مشابهی; Similarity transformation; Image registration; Rigid body mechanisms; Shape-change; Prismatic joints
Computation of matrix exponentials of special matrices
Keywords: تغییرات مشابهی; Matrix exponential; Transition matrix; Similarity transformation; Jordan matrix; Special matrix; Linear system
Exact vortex solitons in a quasi-two-dimensional Bose-Einstein condensate with spatially inhomogeneous cubic-quintic nonlinearity
Keywords: تغییرات مشابهی; Similarity transformation; Bose-Einstein condensate; Vortex solitons; Cubic-quintic nonlinearity;
Exact self-similar wave solutions for the generalized (3Â +Â 1)-dimensional cubic-quintic nonlinear Schröinger equation with distributed coefficients
Keywords: تغییرات مشابهی; Cubic-quintic NLS equation; Similarity transformation; Soliton;
Analytical localized wave solutions of the generalized nonautonomous nonlinear Schrödinger equation with Gaussian shaped nonlinearity
Keywords: تغییرات مشابهی; Generalized nonautonomous nonlinear Schrödinger equation; Similarity transformation; Localized wave solution
Exact analytical solutions of moving boundary problems of one-dimensional flow in semi-infinite long porous media with threshold pressure gradient
Keywords: تغییرات مشابهی; Threshold pressure gradient; Moving boundary; Porous media; Similarity transformation; Exact analytical solution
The compression and stretching of similaritons with nonlinear tunneling in optical fibers
Keywords: تغییرات مشابهی; Similarity transformation; Nonlinear Schrödinger equation; Nonlinear tunneling;
Approximate diagonalization of variable-coefficient differential operators through similarity transformations
Keywords: تغییرات مشابهی; Pseudodifferential operators; Symbolic calculus; Eigenvalue problem; Similarity transformation
Steady flow and heat transfer of the power-law fluid over a rotating disk
Keywords: تغییرات مشابهی; Power-law fluid; Heat transfer; Similarity transformation; Multi-shooting method; Rotating disk
Nonautonomous bright matter-wave solitons and soliton collisions in Fourier-synthesized optical lattices
Keywords: تغییرات مشابهی; Generalized nonautonomous nonlinear Schrödinger equation; Similarity transformation; Multisoliton solution;
Combined effects of non-uniform heat source/sink and thermal radiation on heat transfer over an unsteady stretching permeable surface
Keywords: تغییرات مشابهی; Boundary layer flow; Stretching surface; Heat transfer; Thermal radiation; Similarity transformation
Multiplication rule of similarity transformations in the coherent state representation and its mapping onto quantum optical generalized ABCD law
Keywords: تغییرات مشابهی; Generalized ABCD law; Matrix optics; Similarity transformation; IWOP technique
Analytical and experimental investigations on fluid flow and thermal characteristics of a plate-fin heat sink subject to a uniformly impinging jet
Keywords: تغییرات مشابهی; Heat sink; Uniformly impinging jet; Volume averaging technique; Similarity transformation
Exact analytical solutions for the generalized non-integrable nonlinear Schrödinger equation with varying coefficients
Keywords: تغییرات مشابهی; Generalized non-integrable nonlinear Schrödinger equation with varying coefficients; Similarity transformation; The tri-function method; Analytical solutions