Keywords: راه حل یکنواخت; Dust ion acoustic wave; Solitary wave solution; Collisional dusty plasma; Quasiperiodic motion; Chaotic motion;
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Keywords: راه حل یکنواخت; Third order dispersive equation; Phase portraits; Solitary wave solution; Compacton solution; Dark solitons; Periodic wave solution; Cnoïdal waves; Breaking wave solution
Keywords: راه حل یکنواخت; An exponential expansion method; Strain wave equation; Explicit solution; Solitary wave solution; Periodic solution
Keywords: راه حل یکنواخت; Logistic function; Nonlinear differential equation; Partial differential equation; Exact solution; Solitary wave solution;
Keywords: راه حل یکنواخت; G′G-Expansion method; Sixth-order thin-film equation; Solitary wave solution
Keywords: راه حل یکنواخت; Hamiltonian system; Nonlinear wave equation; Non-convex interparticle interactions; Deformability of the substrate potential; Solitary wave solution; Kink wave solution; Periodic wave solution; Breaking wave solution
Solitary wave solutions with non-monotone shapes for the modified Kawahara equation
Keywords: راه حل یکنواخت; Modified Kawahara equation; Solitary wave solution; Inverse problem; Coefficient identification; Numerical solution; Non-monotone shape;
Abundant general solitary wave solutions to the family of KdV type equations
Keywords: راه حل یکنواخت; Nonlinear evolution equation; Solitary wave solution; Potential KdV equation; Complex modified KdV equation;
Lie symmetry analysis and different types of solutions to a generalized bidirectional sixth-order Sawada-Kotera equation
Keywords: راه حل یکنواخت; The sixth-order Sawada-Kotera equation; Lie point symmetry; Symmetry reductions; Exact solutions; Solitary wave solution; Periodic wave solutions;
Periodic wave solutions and solitary wave solutions of generalized modified Boussinesq equation and evolution relationship between both solutions
Keywords: راه حل یکنواخت; Global phase portrait; Solitary wave solution; Periodic wave solution; Evolution relationship;
Auto-Bäcklund transformation for some nonlinear partial differential equation
Keywords: راه حل یکنواخت; Auto-Bäcklund transformation; STO equation; Fourth order equation of the Burgers hierarchy; Solitary wave solution; Kink solution; Singular solution;
Stability of the solitary wave solutions to a coupled BBM system
Keywords: راه حل یکنواخت; Stability; Solitary wave solution; Benjamin–Bona–Mahony (BBM) equation; Coupled system; Spectrum; Schrödinger operator
Bifurcation and exact travelling wave solutions for Gardner–KP equation
Keywords: راه حل یکنواخت; Bifurcation; Solitary wave solution; Periodic wave solution; Kink (anti-kink) wave solution; Gardner–KP equation
Multipole solitary wave solutions of the higher-order nonlinear Schrödinger equation with quintic non-Kerr terms
Keywords: راه حل یکنواخت; Nonlinear Schrödinger equation; Solitary wave solution; Complex amplitude ansatz;
Analytical solutions Zakharov–Kuznetsov equations
Keywords: راه حل یکنواخت; Homotopy Analysis Method; Zakharov–Kuznetsov equations; Numerical solution; Solitary wave solution
The orbital stability of the solitary wave solutions of the generalized Camassa-Holm equation
Keywords: راه حل یکنواخت; Generalized Camassa-Holm equation; Stability; Solitary wave solution;
Qualitative Analysis and Travelling Wave Solutions for the Chaffee-Infante Equation
Keywords: راه حل یکنواخت; Chaffee-Infante equation; qualitative analysis; solitary wave solution; damped oscillatory solution; error estimate;
A bilinear Bäcklund transformation of a (3+1) -dimensional generalized KP equation
Keywords: راه حل یکنواخت; Hirota bilinear form; Bäcklund transformation; Solitary wave solution
Ion-acoustic waves in an inhomogeneous plasma with negative ions
Keywords: راه حل یکنواخت; Inhomogeneous plasma; Ion acoustic waves; Variable coefficient KdV equation; Solitary wave solution
Bifurcation of traveling wave solutions for the BBM-like B(2, 2) equation
Keywords: راه حل یکنواخت; Bifurcation method; Solitary wave solution; Compacton; Peakon; Periodic cusp wave solution; BBM-like B(2, 2) equation;
Solitary wave solutions for a higher order nonlinear Schrödinger equation
Keywords: راه حل یکنواخت; Nonlinear Schrödinger equation; Solitary wave solution; Complex amplitude ansatz method
The bifurcation and exact travelling wave solutions for the modified Benjamin–Bona–Mahoney (mBBM) equation
Keywords: راه حل یکنواخت; Bifurcation; Breaking wave solution; Solitary wave solution; Kink (anti-kink) wave solution; Periodic wave solution
Solitary wave and chaotic behavior of traveling wave solutions for the coupled KdV equations
Keywords: راه حل یکنواخت; Coupled KdV equation; Traveling wave solution; Chaotic behavior of traveling wave; Solitary wave solution; Periodic wave solution
Nonlinear dynamics of DNA - Riccati generalized solitary wave solutions
Keywords: راه حل یکنواخت; Nonlinear dynamics; Solitary wave solution; Factorization method; Riccati generalization;
The fractional variational iteration method using He's polynomials
Keywords: راه حل یکنواخت; Fractional variational iteration method; Homotopy perturbation method; Modified Riemann-Liouville derivative; Fractional differential equation; Solitary wave solution;
Peakon, loop and solitary travelling wave solutions for the general modified CH–DP equation
Keywords: راه حل یکنواخت; Camassa–Holm equation; Degasperis–Procesi equation; Solitary wave solution; Peakon soliton; Loop soliton
A new method for a generalized Hirota–Satsuma coupled KdV equation
Keywords: راه حل یکنواخت; Generalized Hirota–Satsuma coupled KdV equation; Differential transform method; Solitary wave solution; Absolute error; Convergence
Traveling wave solutions to the (n+1)(n+1)-dimensional sinh–cosh–Gordon equation
Keywords: راه حل یکنواخت; Generalized sinh–cosh–Gordon equation; Solitary wave solution; Kink solution; Kink-like wave solution; Periodic wave solution
Effects of adiabaticity and non-adiabaticity of dust charge fluctuation on the propagation of the dust ion acoustic waves in inhomogeneous dusty plasma
Keywords: راه حل یکنواخت; Inhomogeneous dusty plasma; Dust ion acoustic waves; Positive and negative dust charge fluctuation; Variable coefficients KdV equation; Solitary wave solution;
Exact traveling wave solutions for a generalized Hirota-Satsuma coupled KdV equation by Fan sub-equation method
Keywords: راه حل یکنواخت; Fan sub-equation method; Generalized Hirota-Satsuma coupled KdV equation; Solitary wave solution; Periodic wave solution;
Remarks on solitary waves of the generalized two dimensional Benjamin–Ono equation
Keywords: راه حل یکنواخت; Nonlinear PDE; Solitary wave solution; Regularity
Explicit periodic solitary wave solutions for the (2 + 1)-dimensional Boussinesq equation
Keywords: راه حل یکنواخت; Boussinesq equation; Homoclinic test method; Periodic wave solution; Solitary wave solution; Mechanical feature
Auto-Bäcklund transformation and similarity reductions for coupled Burger’s equation
Keywords: راه حل یکنواخت; Bäcklund transformation; Similarity reduction; Coupled Burger’s equation; Solitary wave solution; Traveling wave solution
The first integral method for modified Benjamin–Bona–Mahony equation
Keywords: راه حل یکنواخت; First integral method; Modified Benjamin–Bona–Mahony equation; Solitary wave solution
New travelling wave solutions for a nonlinearly dispersive wave equation of Camassa–Holm equation type
Keywords: راه حل یکنواخت; Nonlinearly dispersive wave equation of Camassa–Holm equation type; Integral bifurcation method; Loop soliton solution; Periodic loop soliton solution; Solitary wave solution; Solitary cusp wave solution
Smooth and non-smooth traveling wave solutions of the Fornberg–Whitham equation with linear dispersion term
Keywords: راه حل یکنواخت; Fornberg–Whitham equation; Linear dispersion term; Bifurcation method; Solitary wave solution; Peakon; Periodic cusp wave solution
The extended G′G-expansion method and its applications to the Whitham–Broer–Kaup–Like equations and coupled Hirota–Satsuma KdV equations
Keywords: راه حل یکنواخت; Extended G′G-expansion method; Solitary wave solution; Nonlinear evolution equations; Whitham–Broer–Kaup–Like equations; Coupled Hirota–Satsuma KdV equations
Bifurcations of traveling wave solutions for the magma equation
Keywords: راه حل یکنواخت; Solitary wave solution; Periodic wave solution; Breaking wave solution; Theory of bifurcation; Magma equation;
Factorization technique and new exact solutions for the modified Camassa–Holm and Degasperis–Procesi equations
Keywords: راه حل یکنواخت; Factorization techniques; Modified Camassa–Holm equation; Modified Degasperis–Procesi equation; Peakon soliton; Solitary wave solution
Auxiliary equation method for the mKdV equation with variable coefficients
Keywords: راه حل یکنواخت; Nonlinear evolution equations; Auxiliary equation method; mKdV equation with variable coefficients; Solitary wave solution;
Bifurcations of travelling wave solutions for the generalized KP-BBM equation
Keywords: راه حل یکنواخت; Solitary wave solution; Periodic cusp wave solution; Compactons; Bifurcation theory; Generalized Kadomtsov-Petviashvili-Benjamin-Bona-Mahony equation;
Bifurcation studies on travelling wave solutions for an integrable nonlinear wave equation
Keywords: راه حل یکنواخت; Bifurcation theory; Periodic wave solution; Solitary wave solution; Kink and anti-kink wave solution; W/M-shaped solitary wave solutions
Exact travelling wave solutions of the dissipative coupled Korteweg-de Vries equation
Keywords: راه حل یکنواخت; The dissipative coupled Korteweg-de Vries equation; Global phase portrait; Solitary wave solution; Damped oscillatory solution; Error estimate; Heteroclinic orbit;
Extended Jacobi elliptic function expansion solutions of variant Boussinesq equations
Keywords: راه حل یکنواخت; Symbolic computation; Variant Boussinesq equations; Jacobi elliptic function; Solitary wave solution; Exact solution
Exact explicit traveling wave solutions for two nonlinear Schrödinger type equations
Keywords: راه حل یکنواخت; Solitary wave solution; Kink and anti-kink wave solution; Periodic wave solution; Phase portrait; Nonlinear Schrödinger type equations;
Bifurcations of travelling wave solutions for a class of nonlinear fourth order variant of a generalized Camassa-Holm equation
Keywords: راه حل یکنواخت; Solitary wave solution; Compactons; Periodic cusp wave solution; Breaking wave solution; Generalized Camassa-Holm equation;
Application of Exp-function method to Dullin-Gottwald-Holm equation
Keywords: راه حل یکنواخت; Dullin-Gottwald-Holm equation; Exp-function method; Bi-periodic traveling-wave solution; Kink-wave; Solitary wave solution; Bounded-wave solutions;
Exact loop solutions, cusp solutions, solitary wave solutions and periodic wave solutions for the special CH–DP equation
Keywords: راه حل یکنواخت; CH–DP equation; Solitary wave solution; Periodic wave solution; Breaking wave solution; Smoothness of wave
Bifurcations of travelling wave solutions for the Gilson–Pickering equation
Keywords: راه حل یکنواخت; Bifurcation method; Periodic wave solution; Solitary wave solution; Gilson–Pickering equation
Generalized solitary wave solutions for the Klein–Gordon–Schrödinger equations
Keywords: راه حل یکنواخت; Exp-function method; Klein–Gordon–Schrödinger equations; Exact solution; Solitary wave solution