Keywords: Two-component integrable equations; Lie point symmetries; Similarity reductions; Conservation laws; Analytical solutions,; 02.30.Jr; 02.30.Ik; 05.45.Yv;
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Keywords: 02.30.Jr; 02.30.Uu; 04.20.JbGeneralized Burgers’ fluid; Fractional calculus; Pressure gradient; Slip boundary
Keywords: 02.30.Jr; 02.70.Wz; 05.45.Yv; 94.05.Fg; Exact solutions; The time fractional differential equations; Fractional complex transform; Symbolic computation; The exp(âΦ(ξ)) method;
Keywords: Inverse problem; Spectral data; Two-multiple poles; Line spectrum of continuum states; 00.30.Lk; 02.30.Jr; 05.45.Yv;
Keywords: Rogue wave; Darboux transformation; Nonlinear Schrödinger equation; 02.30.Ik; 02.30.Jr; 47.10.A;
Keywords: sine-Gordon equation; semi-discrete equation; conservation laws05.45.Yv; 02.30.Jr; 02.30.Ik
Keywords: Fourth-order Burgers' equation; Nonlocal symmetry analysis; Linearization; Explicit solutions; Conservation laws; 22E70; 35Qxx; 70S10; 11.30.-j; 02.20.-a; 02.20.Sv; 02.30.Jr;
Keywords: super-Lie algebra; super-integrable hierarchy; super-bi-Hamiltonian structure; 05.45.Yv; 02.30.Jr; 02.30.Ik;
Keywords: 02.30.Jr; 05.45.YvKudryashov's method; Solitons; Integrability
Keywords: Lie super algebra; super integrable couplings; Hamiltonian structure02.30.Ik; 02.30.Jr; 02.20.Sv
Keywords: 02.30.Jr; 05.45.YvExtended tanh method; (2 + 1)-Dimensional Boiti–Leon–Pempinelli equation; Kink soliton solutions; Travelling wave solutions
Keywords: Stimulated Brillouin scattering; Painlevé test; Exact solutions; Lie symmetries; Reductions02.20.Sv; 02.30.Jr; 42.65.-k; 42.81.Dp
Keywords: 02.30.Jr; 02.70.Wz; 05.45.Yv; 94.05.FgDark soliton; The modified Korteweg de Vries-type equation; The dissipative (2+1) dimensional Ablowitz–Kaup–Newell–Segur (AKNS) equation; Exact solution
Travelling wave solutions of the Korteweg-de Vries equation with dual-power law nonlinearity using the improved tan(Ï(ξ)/2)-expansion method
Keywords: 02.30.Jr; 02.70.Wz; 04.20.Jb; Korteweg-de Vries equation; Dual-power law nonlinearity; Improved tan(Ï(ξ)/2)-expansion method; Travelling wave solutions;
The solitons and periodic travelling wave solutions for Dodd-Bullough-Mikhailov and Tzitzeica-Dodd-Bullough equations in quantum field theory
Keywords: 35Q35; 35Q40; 02.30.Jr; Dodd-Bullough-Mikhailov equation; Tzitzeica-Dodd-Bullough equation; Painlevé transformation; Jacobi elliptic function solutions; Extended auxiliary equation method; Travelling wave; Soliton-like solutions; Periodic functio
Effects of a dc bias on electrical impedance spectroscopy in electrolytic cells
Keywords: 02.30.Jr; 03.50.De; 02.60.Cb; 66.10.Ed; 66.10.C-; Poisson-Nernst-Planck equations; Electrolytic cells; Electrical impedance spectroscopy;
Application of the improved F-expansion method with Riccati equation to find the exact solution of the nonlinear evolution equations
Keywords: Improved F-expansion method; Benney-Luke equation; Phi-4 equation; Exact solution; NLEEs; 02.30.Jr; 02.70.Wz; 05.45.Yv; 94.05.Fg; 35K99; 35P05; 35P99;
Modified Kudryashov method for solving the conformable time-fractional Klein-Gordon equations with quadratic and cubic nonlinearities
Keywords: 02.30.Jr; 02.70.Wz; 04.20.Jb; Time-fractional Klein-Gordon equations; Quadratic and cubic nonlinearities; Conformable fractional derivative; Modified Kudryashov method; New exact solutions;
On the solitary wave solution of fractional Kudryashov-Sinelshchikov equation describing nonlinear wave processes in a liquid containing gas bubbles
Keywords: Fractional Kudryashov-Sinelshchikov equation; Radial basis function method; Sech-tanh method; Caputo fractional derivative; 02.30.Jr; 26A33; 35G25; 35R11; 35Q35; 42C40;
Stability analysis solutions of the nonlinear modified Degasperis-Procesi water wave equation
Keywords: Modified Degasperis-Procesi water wave equation; Extended auxiliary equation method; Solitary wave solutions; 02.30.Jr; 47.10.A; 47.11.-j; 47.35.Fg;
New double periodic exact solutions of the coupled Schrödinger-Boussinesq equations describing physical processes in laser and plasma physics
Keywords: New generalized Jacobi elliptic function expansion method; Coupled Schrödinger-Boussinesq equations; Exact solutions; Jacobi elliptic functions; Solitary wave solutions; 35D99; 02.30.Jr;
Solitonic interaction and Pfaffianization for a (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid
Keywords: Two-layer liquid; (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation; Bäcklund transformation; Solitonic interaction; Pfaffianization; 47.35.Fg; 05.45.Yv; 02.30.Jr;
Nonlinear wave solutions for an integrable sixth-order nonlinear Schrödinger equation in an optical fiber
Keywords: 05.45.Yv; 47.35.Fg; 02.30.Jr; Optical fiber; Sixth-order nonlinear Schrödinger equation; Darboux transformation; Solitons; Breathers; Rogue waves;
Traveling wave solutions of a (2 + 1)-dimensional Zakharov-like equation by the first integral method and the tanh method
Keywords: 02.30.Jr; 02.70.WzFirst integral method; (2 + 1)-Dimensional Zakharov-like soliton equation; Traveling wave solution; Solitary waves method
Improved Bell-polynomial procedure for the higher-order Korteweg-de Vries equations in fluid dynamics
Keywords: The seventh- and ninth-order Lax's KdV equations in fluid dynamics; Bell-polynomial procedure; Auxiliary independent variables; Bäcklund transformation; Lax pair; Infinite conservation laws; 05.45.Yv; 02.70.Wz; 02.30.Jr;
Explicit bright and dark solitons for the variable coefficient Biswas-Milovic equation with competing nonlinearity
Keywords: 02.30.Ik; 02.30.Jr; 04.20.Jb; 05.45.Yv; Solitons; Integrability; Biswas-Milovic equation; Jacobi elliptic functions;
Analytic self-similar solutions of the Oberbeck–Boussinesq equations
Keywords: Self-similar solution; Oberbeck-Boussinesq equations; Rayleigh-Benard convection47.10.ad; 02.30.Jr
Note on same result of different ansätz based on extended tanh-function method for nonlinear models
Keywords: Extended tanh-function method; Positive power-form ansatz; Positive and negative power-symmetric ansatz; Radical sign combined ansatz; Variable-coefficient; Boiti–Leon–Pempinelli equation05.45.Yv; 02.30.Jr; 02.30.Ik
Nonlinear Superintegrable Couplings for Supercoupled KDV Hierarchy with Self-Consistent Sources
Keywords: Lie superalgebras; superintegrable couplings; super-Hamiltonian structures; self-consistent sources02.30.Ik; 02.30.Jr; 02.20.Sv
Two (2+1)-dimensional expanding dynamical systems associated to the mKP hierarchy
Keywords: mKP hierarchy; TAH scheme; (2+1)-dimensional hierarchy05.45.Yv; 02.30.Jr; 02.30.Ik
New Soliton Hierarchies Associated with the Lie Algebra so(3,
â) and their BI-Hamiltonian Structures
Keywords: soliton hierarchy; matrix spectral problem; Lie algebra so(3, â); Hamiltonian structure; symbolic computation; 02.30.Ik; 02.30.Jr; 05.45.Yv;
Soliton perturbation theory of Biswas–Milovic equation
Keywords: 35Q51; 35Q53; 37K10; 78A6002.30.Ik; 02.30.Jr; 42.81.Dp; 52.35.SbBiswas–Milovic equation; Soliton perturbation theory; Optical solitons; Adiabatic variations
Chirped and chirpfree soliton solutions of generalized nonlinear Schrödinger equation with distributed coefficients
Keywords: 02.30.Jr; 02.30.Ik; 05.45.YvNonlinear Schrödinger equation; F-expansion method; Bright and dark soliton
On Differential form Method to Find Lie Symmetries of two Types of Toda Lattices
Keywords: 02.30.Jr; 02.20.Sv; 02.40.-k35Q51; 35Q53; 35C99; 68W30; 74J35Lie symmetry; differential form method; differential-difference equation
Bäcklund Transformations and Solutions of Some Generalized Nonlinear Evolution Equations
Keywords: nonlinear evolution equation; Bäcklund transformation; separation of variables; coherent structure; Bell polynomial05.45.Yv; 02.30.Jr; 02.30.Ik
Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation
Keywords: 02.30.Jr; 02.30.Mv; 05.45.DFFractional partial differential equation; Fractional diffusion-wave equation; Homotopy analysis method; Caputo fractional derivative; Mittag-Leffler function
Exact chirped solitary-wave solutions for Ginzburg–Landau equation
Keywords: 02.30.Jr; 05.45.Yv; 47.11.+jGinzburg–Landau equation; Chirped bright solitary-wave; Dark solitary-wave; Ansatz approach
Application of the Exp-function method for nonlinear differential-difference equations
Keywords: 02.30.Jr; 02.70.Wz; 05.45.Yv; 94.05.Fg; Exp-function method; Langmuir lattice; Relativistic Toda lattice system;
On the equations of 212D electron magnetohydrodynamics
Keywords: 02.30.Jr; 52.30.Cv; 52.35.Ra; 52.35.VdElectron magnetohydrodynamics; A priori estimates
Classification of the travelling waves in the nonlinear dispersive KdV equation
Keywords: 02.30.Jr; 02.70.WvNonlinear dispersive equation; Classification; New travelling wave solutions
New exact explicit peakon and smooth periodic wave solutions of the K(3,2)K(3,2) equation
Keywords: 34C37; 34G20; 34K18; 74J3002.30.Ik; 02.30.Jr; 05.45.YvK(3,2)K(3,2) equation; Independent variable transformation; Peakon; Smooth periodic wave; Exact explicit solution
New Miura type transformations between integrable dispersive wave equations
Keywords: 02.30.Lk; 02.30.Jr; 05.45.YvIntegrable equation; New Miura type transformation; Travelling wave solution
Topological and non-topological exact soliton solution of the power law KdV equation
Keywords: 02.30.Jr; 02.30.IkSolitary waves; Integrability
Existence and uniqueness of solutions to a nonlinear elliptic boundary value problem on time scales
Keywords: 02.30.Jr; 05.45.−aTime scale; Delta and nabla derivatives; Eigenvalue; Eigenfunction; Fixed point theorem
A generalized sub-equations rational expansion method for nonlinear evolution equations
Keywords: 02.30.Jr; 05.45.Yv; Nonlinear evolution equations; Generalized sub-equations rational expansion method; (2Â +Â 1)-Dimensional Burgers equations; Complexiton solutions;
Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations
Keywords: 02.30.Jr; 05.45.YvComplete discrimination system for polynomial; Traveling wave solution; Nonlinear differential equation
Bifurcation of travelling wave solutions for the generalized Camassa–Holm–KP equations
Keywords: 02.30.Jr; 02.30.Oz; 02.60.Cb; 47.35.FgThe generalized Camassa–Holm–KP equations; Bifurcation theory; Travelling wave solutions
New exact solutions to the (2+1)(2+1)-dimensional Konopelchenko–Dubrovsky equation
Keywords: 02.30.Ik; 02.30.Jr; 04.20.Jb(2+1)(2+1)-Dimensional KD equation; Travelling wave solutions; Complexitons
Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch)
Keywords: 02.30.Jr; 03.40.Kf; Auxiliary elliptic equation method; Solitary wave solutions; Periodic-wave solutions; K(2,2) equation (defocusing branch);
Radius of analyticity and exponential convergence for spectral projections of the generalized KdV equation
Keywords: 02.30.Jr; 02.70.Hm; 47.35.FgGeneralized Korteweg–de Vries equation; Radius of analyticity; Fourier–Galerkin method; Spectral convergence