Found 135 Documents (Results 1–100)
Solitary wave solution, traveling wave solution and other solutions of variable-coefficients chiral Schrödinger equation. (English) Zbl 07867017
New solutions of the time-fractional Hirota-Satsuma coupled KdV equation by three distinct methods. (English) Zbl 07793966
Some traveling wave solutions to the generalized \((3+1)\)-dimensional Korteweg-de Vries-Zakharov-Kuznetsov equation in plasma physics. (English) Zbl 1531.35111
Exact solutions to the fractional complex Ginzburg-Landau equation with time-dependent coefficients under quadratic-cubic and power law nonlinearities. (English) Zbl 1523.35017
Soliton solutions of dual-mode Kawahara equation via Lie symmetry analysis. (English) Zbl 1541.35125
Saha Ray, Santanu (ed.) et al., Applied analysis, computation and mathematical modelling in engineering. Select proceedings of AACMME 2021, Rourkela, India, February 24–26, 2021. Singapore: Springer. Lect. Notes Electr. Eng. 897, 189-202 (2022).
Construction cubic-quartic solitons in optical metamaterials for the perturbed twin-core couplers with Kudryashov’s sextic power law using extended F-expansion method. (English) Zbl 1504.78017
Application of the extended f-expansion method for solving the fractional Gardner equation with conformable fractional derivative. (English) Zbl 1501.35012
Propagation of traveling wave solutions to the Vakhnenko-Parkes dynamical equation via modified mathematical methods. (English) Zbl 1499.35027
Multiple soliton solutions for nonlinear differential equations with a new version of extended F-expansion method. (English) Zbl 1490.35096
The use of improved-F expansion method for the time-fractional Benjamin-Ono equation. (English) Zbl 1468.35232
New exact solutions of the nonlinear Landau-Ginburg-Higgs equation. (English) Zbl 1463.35472
MSC:
35Q56
Complex model ultra-short pulses in optical fibers via generalized third-order nonlinear Schrödinger dynamical equation. (English) Zbl 1443.35148
New exact solutions of the space-time fractional cubic Schrödinger equation using the new type F-expansion method. (English) Zbl 1505.35356
Structure of optical solitons of resonant Schrödinger equation with quadratic cubic nonlinearity and modulation instability analysis. (English) Zbl 07570671
MSC:
82-XX
Dispersion analysis and improved F-expansion method for space-time fractional differential equations. (English) Zbl 1437.34008
Bifurcation of traveling waves and exact solutions of Kadomtsev-Petviashvili modified equal width equation with fractional temporal evolution. (English) Zbl 1438.34002
Bright soliton solution of \((1+1)\)-dimensional quantum system with power-law dependent nonlinearity. (English) Zbl 1421.35349
New traveling wave solutions for \( (2+1)\)-dimension breaking soliton equations. (Chinese. English summary) Zbl 1438.35087
Dispersive analytical soliton solutions of some nonlinear waves dynamical models via modified mathematical methods. (English) Zbl 1448.35430
A series of the solutions for the Heisenberg ferromagnetic spin chain equation. (English) Zbl 1394.35507
Soliton dynamics for one dimensional quantum system incorporating higher-order dispersion effect and nonlinear interactions. (English) Zbl 1543.35185
Exact travelling wave solutions of the \((3+1)\)-dimensional potential Yu-Toda-Sasa-Fukuyama equation through the improved \(F\)-expansion method with Riccati equation. (English) Zbl 1453.35156
Solitary and Jacobi elliptic wave solutions of the generalized Benjamin-Bona-Mahony equation. (English) Zbl 1510.35260
The improved \(F\)-expansion method and its application to the MEE circular rod equation and the ZKBBM equation. (English) Zbl 1438.35356
The improved \(F\)-expansion method with Riccati equation and its applications in mathematical physics. (English) Zbl 1438.35344
Exact solutions and optical soliton solutions for the nonlinear Schrödinger equation with fourth-order dispersion and cubic-quintic nonlinearity. (English) Zbl 1386.78017
New exact solutions of time fractional Gardner equation by using new version of \(F\)-expansion method. (English) Zbl 1357.35287
Application of the improved \(F\)-expansion method with Riccati equation to find the exact solution of the nonlinear evolution equations. (English) Zbl 1357.35072
Exact soliton solution for the fourth-order nonlinear Schrödinger equation with generalized cubic-quintic nonlinearity. (English) Zbl 1352.35139
Some new exact traveling wave solutions one dimensional modified complex Ginzburg-Landau equation. (English) Zbl 1412.34091
New exact solutions for solving the initial-value-problem of the KdV-KP equation via the Lie group method. (English) Zbl 1410.35162
New white noise functional solutions for Wick-type stochastic coupled KdV equations using F-expansion method. (English) Zbl 1359.60079
A method to 2D nonlinear Ginzburg-Landau equation. (Chinese. English summary) Zbl 1349.35362
New exact double periodic wave and complex wave solutions for a generalized sinh-Gordon equation. (English) Zbl 1364.35197
Analytical solutions of nonlinear Schrödinger equation with distributed coefficients. (English) Zbl 1348.35236
Two exact solutions for nonlinear Schrödinger equation with variable coefficients based on F-expansion method. (English) Zbl 1339.35291
Coupled fractional nonlinear differential equations and exact Jacobian elliptic solutions for exciton-phonon dynamics. (English) Zbl 1305.82065
A improved F-expansion method and its application to Kudryashov-Sinelshchikov equation. (English) Zbl 1304.34019
White noise functional solutions for Wick-type stochastic Maccari systems. (Chinese. English summary) Zbl 1313.60129
Soliton solutions and periodic solutions for coupled Konopelchenko-Dubrovsky equations. (Chinese. English summary) Zbl 1299.35250
Using the expanded \(F\)-expansion method for solving the \( (2+1)\)-dimensional ZK equation. (Chinese. English summary) Zbl 1299.35259
Topological soliton and other exact solutions to KdV–Caudrey–Dodd–Gibbon equation. (English) Zbl 1418.37114
Using F-expansion method for solving ZK-BBM equations. (Chinese. English summary) Zbl 1274.35297
Separation transformation and new exact solutions of the (\(N + 1\))-dimensional dispersive double sine-Gordon equation. (English) Zbl 1264.35231
New exact solutions for the modified KdV-KP equation using the extended F-expansion method. (English) Zbl 1262.35183
Exact solutions for a \(K(m,n)\) equation with \(t\)-dependent coefficients. (English) Zbl 1294.35006
MSC:
35C05
Solitary wave solutions and periodic wave solutions of the \(B(m,n)\) equation with generalized evolution term. (English) Zbl 1252.35241
A improved F-expansion method and its application to the Zhiber-Shabat equation. (English) Zbl 1241.35169
Controllable optical solitons in optical fiber system with distributed coefficients. (English) Zbl 1264.78026
Jacobi elliptic function solution of Ginzburg-Landau equation based on BCS theory. (English) Zbl 1260.35220
Combining F-expansion method with exp-function method for obtaining exact solutions of Zhiber-Shabat equation. (Chinese. English summary) Zbl 1240.35441
New exact solutions for the Kadomtesv-Petviashvili equation. (Chinese. English summary) Zbl 1240.35450
F-Exp expansion method for obtaining exact solutions of Klein-Gordon equation. (English) Zbl 1225.35186
New types of exact solutions for nonlinear Schrödinger equation with cubic nonlinearity. (English) Zbl 1210.35231
F-expansion method and explicit solutions to \((2+1)\)-dimensional EW equation. (Chinese. English summary) Zbl 1240.35462
MSC:
35Q53
Auto-Bäcklund transformation and modified F-expansion method to find new exact solutions for the variable coefficients generalized Zakharov-Kuznetsov equation. (Auto-Bäcklund transformation and modified F-expantion method to find new exact solutions for the variable coefficients generalized Zakharove-Kuznetsov equation.) (English) Zbl 1230.35122
Travelling wave solutions to some important equations of mathematical physics. (English) Zbl 1237.35028
Exact solutions of the Drinfel’d-Sokolov-Wilson equation using the F-expansion method combined with Exp-function method. (English) Zbl 1216.35114
Application of exp-function method combined with \(F\)-expansion method for solving a generalized form of modified Degasperis-Procesi equation. (English) Zbl 1215.35130
Some new exact solutions of exp-function type to Boussinesq equations with power law nonlinearity in two forms. (English) Zbl 1198.35227
The correct traveling wave solutions for the high-order dispersive nonlinear Schrödinger equation. (English) Zbl 1190.35211
Symbolic computation of exact solutions for the compound KdV-Sawada-Kotera equation. (English) Zbl 1182.65163
The binary \(F\)-expansion method and its application for solving the \((n + 1)\)-dimensional sine-Gordon equation. (English) Zbl 1221.35360
New exact solutions for Klein-Gordon-Schrödinger equations. (Chinese. English summary) Zbl 1212.35410
New exact solutions for higher-order nonlinear Schrödinger equation. (Chinese. English summary) Zbl 1212.35446
MSC:
35Q55
The periodic wave solutions of the integrable Davey-Stewartson equations. (Chinese. English summary) Zbl 1212.35423
The periodic wave solutions of coupled Klein-Gordon-Schrödinger equations for \( (1+1)\)-dimension. (Chinese. English summary) Zbl 1212.35444
The extended F-expansion method and new exact solutions of the generalized KdV equation. (Chinese. English summary) Zbl 1199.35304
Explicit and exact solutions with multiple arbitrary analytic functions of Jimbo-Miwa equation. (English) Zbl 1178.35337
Exp-function method combined with \(R\)-expansion method for obtaining new exact solutions of \((2+1)\)-dimensional Boussinesq equation. (English) Zbl 1181.35212
Two applications of the homogeneous balance method for solving the generalized Hirota-Satsuma coupled KdV system with variable coefficients. (English) Zbl 1170.35519
An improved generalized \(F\)-expansion method and its application to the \((2 + 1)\)-dimensional KdV equations. (English) Zbl 1221.35384
All kinds of periodic solutions of Jacobian elliptic-function type and soliton solutions for the equal width wave equation. (Chinese. English summary) Zbl 1199.35008
Exact solutions of the Wick-type clannish random walker’s parabolic equations. (Chinese. English summary) Zbl 1199.60241
MSC:
60H15
Further improved F-expansion and new exact solutions for nonlinear evolution equations. (English) Zbl 1173.35648
Periodic wave solutions expressed by Jacobi elliptic functions for the Klein-Gordon-Zakharov equations in three dimensional space. (Chinese. English summary) Zbl 1174.35499
MSC:
35Q53
Exact solutions of DNLS equation. (Chinese. English summary) Zbl 1174.35533
MSC:
35Q55
Exact solutions of Gerdjikov-Ivanov equation. (Chinese. English summary) Zbl 1174.35477
Exact solution to Burgers equation with variable coefficients. (Chinese. English summary) Zbl 1176.35152
Solitary wave solutions and periodic wave solutions for Zhiber-Shabat equation. (Chinese. English summary) Zbl 1174.35539
MSC:
35Q58
37K50
More exact solutions for coupling Schrödinger-Boussinesq equations with a modified \(F\)-expansion method. (Chinese. English summary) Zbl 1164.35488
MSC:
35Q55
Non-travelling wave solutions of two \((2+1)\)-dimensional nonlinear mathematical physics equations. (English) Zbl 1137.65057
New exact solutions of the Kawahara equation using generalized \(F\)-expansion method. (English) Zbl 1173.35671
Improved \(F\)-expansion method and exact solutions for coupled nonlinear Klein-Gordon equation. (Chinese. English summary) Zbl 1164.35474
Periodic wave solutions for a new Hamiltonian amplitude equation. (English) Zbl 1164.35492
MSC:
35Q55
Explicit solutions to the (1+1)-dimensional KdV equations with variable coefficients. (Chinese. English summary) Zbl 1150.35547
Solution of \( (n+1)\)-dimensional Sine-Gordon equation with modified \(F\)-expansion method. (Chinese. English summary) Zbl 1150.35555
MSC:
35Q53
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