Found 50 Documents (Results 1–50)
\(q\)-homotopy analysis method for time-fractional Newell-Whitehead equation and time-fractional generalized Hirota-Satsuma coupled KdV system. (English) Zbl 07887626
Bilinear forms and solitonic stability for a variable-coefficient Hirota-Satsuma coupled Korteweg-de Vries system in a liquid. (English) Zbl 1523.35113
Smoothing and global attractors for the Hirota-Satsuma system on the torus. (English) Zbl 1515.35235
Local well-posedness in weighted Sobolev spaces for nonlinear dispersive equations with applications to dispersive blow up. (English) Zbl 07686081
Traveling wave solutions of Hirota-Satsuma coupled KdV equation. (Chinese. English summary) Zbl 07801027
Shallow-water-wave studies on a (2 + 1)-dimensional Hirota-Satsuma-Ito system: \(X\)-type soliton, resonant \(Y\)-type soliton and hybrid solutions. (English) Zbl 1498.35437
On nonclassical symmetries, Painlevé analysis and singular, periodic and solitary wave solutions of generalized Hirota-Satsuma coupled KdV system. (English) Zbl 1496.35029
Lie symmetry and exact solution of the time-fractional Hirota-Satsuma Korteweg-de Vries system. (English) Zbl 1477.35227
A reliable technique to study nonlinear time-fractional coupled Korteweg-de Vries equations. (English) Zbl 1482.35200
Nonlocal KdV equations. (English) Zbl 1448.35445
Some exact solutions of the nonlinear space-time fractional differential equations. (English) Zbl 1505.35353
On the new solutions of the conformable time fractional generalized Hirota-Satsuma coupled KdV system. (English) Zbl 1513.35515
Bifurcations of the time-fractional generalized coupled Hirota-Satsuma KdV system. (English) Zbl 1431.35148
Solitary wave solution of the generalized Hirota-Satsuma coupled KdV system. (English) Zbl 1358.35157
Exact traveling wave solutions for the generalized Hirota-Satsuma couple KdV system using the \(\exp(-\varphi(\xi))\)-expansion method. (English) Zbl 1438.35358
New exact solutions of the coupled time-fractional generalized Hirota-Satsuma and kdV system. (Chinese. English summary) Zbl 1374.35361
A generalized Hirota-Satsuma coupled KdV system: Darboux transformations and reductions. (English) Zbl 1348.35225
Reviewer: Nakazono Nobutaka (Sydney)
Applications of He’s variational principle method and the Kudryashov method to nonlinear time-fractional differential equations. (English) Zbl 1421.35317
Nonlocal symmetries of the Hirota-Satsuma coupled Korteweg-de Vries system and their applications: exact interaction solutions and integrable hierarchy. (English) Zbl 1302.37037
Numerical solution of nonlinear Kaup-Kupershmit equation, KdV-KdV and Hirota-Satsuma systems. (English) Zbl 1401.65117
Soliton and periodic solutions to the generalized Hirota-Satsuma coupled system using trigonometric and hyperbolic function methods. (English) Zbl 1282.35329
Numerical simulations of nonlinear evolution equations in mathematical physics. (English) Zbl 1261.65106
Application of a numerical method using radial basis functions to nonlinear partial differential equations. (English) Zbl 1238.65089
Asymptotical analysis of some coupled nonlinear wave equations. (English) Zbl 1232.35091
Reviewer: Svetlin Georgiev (Rousse)
New exact Jacobi elliptic functions solutions for the generalized coupled Hirota-Satsuma KdV system. (English) Zbl 1200.35260
On using the homotopy perturbation methods for finding the travelling wave solutions of generalized nonlinear Hirota-Satsuma coupled KdV equations. (English) Zbl 1176.35164
Two applications of the homogeneous balance method for solving the generalized Hirota-Satsuma coupled KdV system with variable coefficients. (English) Zbl 1170.35519
On the local well-posedness for some systems of coupled KdV equations. (English) Zbl 1168.35421
MSC:
35Q53
35A07
Bifurcations of traveling wave solutions for the generalized coupled Hirota-Satsuma KdV system. (English) Zbl 1149.34028
Reviewer: Alois Steindl (Wien)
New exact travelling wave solutions using modified extended tanh-function method. (English) Zbl 1139.35388
The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations. (English) Zbl 1138.35385
New explicit exact solutions for the generalized coupled Hirota-Satsuma KdV system. (English) Zbl 1129.35445
Numerical solutions of nonlinear evolution equations using variational iteration method. (English) Zbl 1120.65111
Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system. (English) Zbl 1094.65104
Stability of dnoidal waves to Hirota-Satsuma system. (English) Zbl 1201.76033
Reviewer: Ivan Straškraba (Praha)
Transformation of a generalized Harry Dym equation into the Hirota-Satsuma system. (English) Zbl 1118.81435
Soliton solutions and doubly periodic wave solutions for a new generalized Hirota-Satsuma coupled system. (English) Zbl 1038.35092
The Hirota-Satsuma coupled KdV equation and a coupled Ito system revisited. (English) Zbl 0965.35144
Rekursionsmechanismen für Symmetrien und Erhaltungssätze in integrablen Systemen. (German) Zbl 0568.58016
Fachbereich Mathematik-Informatik der Universität-Gesamthochschule Paderborn. 114 S. (1984).
Reviewer: B.Fuchssteiner
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