Keywords: راه حل های منطقی; Kadomtsev-Petviashvili hierarchy reduction; (3+1)-dimensional generalized shallow water wave equation; Rational solutions; Lump soliton;
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Keywords: راه حل های منطقی; Super-rogue wave; Nonlinear Schrödinger equation; mNLS; Rational solutions
Keywords: راه حل های منطقی; 05C50; 14H52; Unicyclic graphs; Elliptic curve; Rational solutions;
Rational solutions for the nonlocal sixth-order nonlinear Schrödinger equation
Keywords: راه حل های منطقی; Nonlocal nonlinear Schrödinger equations; Lax pair; Darboux transformation; Rational solutions;
Grammian-type determinant solutions to generalized KP and BKP equations
Keywords: راه حل های منطقی; Generalized KP and BKP equations; Grammian-type determinant identities; Sufficient conditions; Rational solutions;
Soliton-like, periodic wave and rational solutions for a (3Â +Â 1)-dimensional Boiti-Leon-Manna-Pempinelli equation in the incompressible fluid
Keywords: راه حل های منطقی; Rational solutions; Pffafian solutions; Periodic wave solutions; (3Â +Â 1)-dimensional Boiti-Leon-Manna-Pempinelli equation; Incompressible fluid; Ansätz method;
Rational solutions to the KPI equation and multi rogue waves
Keywords: راه حل های منطقی; KPI equation; Rational solutions; Rogue waves
Rational solutions to an extended Kadomtsev-Petviashvili-like equation with symbolic computation
Keywords: راه حل های منطقی; Generalized bilinear operator; Extended Kadomtsev-Petviashvili-like equation; Rational solutions; Symbolic computation
Rational solutions for a (2+1)-dimensional nonlinear model in water waves generated by the Jaulent-Miodek hierarchy
Keywords: راه حل های منطقی; Nonlinear water waves; Nonlinear evolution equation; Jaulent-Miodek hierarchy; Rational solutions; Hirota's bilinear method; Pfaffian;
Multi-rogue waves and rational solutions of the coupled nonlinear Schrödinger equations
Keywords: راه حل های منطقی; Coupled nonlinear Schrödinger equations; Rogue waves; Rational solutions; Modified Darboux transformation
Asymptotic solutions for singularly perturbed Boussinesq equations
Keywords: راه حل های منطقی; Singularly perturbed Boussinesq equation; Weak solutions; Rational solutions; Asymptotic series
Pfaffian solutions to a (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation and its modified counterpart
Keywords: راه حل های منطقی; Pfaffian solutions; BKP equation; Modified BKP equation; Bilinear Bäcklund transformation; Soliton solutions; Wave solutions; Rational solutions
Wronskian determinant solutions of the (3 + 1)-dimensional Jimbo–Miwa equation
Keywords: راه حل های منطقی; (3 + 1)-dimensional Jimbo–Miwa equation; Wronskian form; Rational solutions; Negatons; Positons
The generalized Wronskian solutions of a inverse KdV hierarchy
Keywords: راه حل های منطقی; Inverse KdV equation; Darboux-Crum theorem; Bäcklund transformation; Generalized Wronskian solutions; Soliton solutions; Rational solutions;
Rational general solutions of planar rational systems of autonomous ODEs
Keywords: راه حل های منطقی; Ordinary differential equations; Rational solutions; Invariant algebraic curves; Rational parametrizations; Rational first integrals;
Exact solutions of (2+1) -dimensional Bogoyavlenskii’s breaking soliton equation with symbolic computation
Keywords: راه حل های منطقی; (2+1)-dimensional Bogoyavlenskii’s breaking soliton equation; (G′G)-expansion method; Hyperbolic function solutions; Trigonometric function solutions; Rational solutions
Soliton, rational and special solutions of the Korteweg-de Vries hierarchy
Keywords: راه حل های منطقی; Nonlinear evolution equation; Korteweg-de Vries equation; Korteweg-de Vries hierarchy; Soliton; Self-similar solutions; Rational solutions; First Painlevé hierarchy; Second Painlevé hierarchy;
Construction of coupled Harry Dym hierarchy and its solutions from Stäckel systems
Keywords: راه حل های منطقی; Stäckel separable systems; Hamilton–Jacobi theory; Hydrodynamic systems; Rational solutions; Multicomponent Harry Dym hierarchy
An operator approach to the rational solutions of the classical Yang-Baxter equation
Keywords: راه حل های منطقی; 81R; 17B; Lie algebra; CYBE with parameters; Rational solutions;
A generalized G′G-expansion method and its application to the (2 + 1)-dimensional Broer–Kaup equations
Keywords: راه حل های منطقی; Nonlinear evolution equations; Generalized G′G-expansion method; Non-travelling wave solutions; Hyperbolic function solutions; Trigonometric function solutions; Rational solutions
Periodic, solitary and rational wave solutions of the 3D extended quantum Zakharov–Kuznetsov equation in dense quantum plasmas
Keywords: راه حل های منطقی; 05.45.Yv; 03.65.Ge; 52.35.Sb; 02.70.WzQuantum plasmas; Extended quantum Zakharov–Kuznetsov equation; Periodic waves; Solitary waves; Rational solutions
Variable-coefficient discrete tanh method and its application to (2+12+1)-dimensional Toda equation
Keywords: راه حل های منطقی; 02.30.Jr; 05.45.Yv; 02.30.IkNonlinear differential–difference equations; Variable-coefficient discrete tanh method; Hyperbolic function solutions; Trigonometric function solutions; Rational solutions
Rational solutions of the classical Boussinesq system
Keywords: راه حل های منطقی; Rational solutions; Classical Boussinesq system; Painlevé equation
A second Wronskian formulation of the Boussinesq equation
Keywords: راه حل های منطقی; 37K10; 35Q58; 35Q51The Boussinesq equation; Wronskian formulation; Rational solutions; Positons; Complexitons
Rational solutions of the general nonlinear Schrödinger equation with derivative
Keywords: راه حل های منطقی; GDNLSE; Rational solutions; Double Wronskian;
The generalized Yablonskii-Vorob'ev polynomials and their properties
Keywords: راه حل های منطقی; 02.30.Hq; Special polynomials; Painlevé equations; Rational solutions; Differential-difference relations;
New exact non-traveling wave and coefficient function solutions of the (2+12+1)-dimensional breaking soliton equations
Keywords: راه حل های منطقی; 02.30.Jr; 04.20.JbNonlinear partial differential equations; Generalized auxiliary equation method; Soliton-like solutions; Trigonometric function solutions; Exponential solutions; Rational solutions
Special polynomials associated with the fourth order analogue to the Painlevé equations
Keywords: راه حل های منطقی; 02.30.HqPainlevé equations; Rational solutions; Special polynomials
Discriminants of Umemura polynomials associated to Painlevé III
Keywords: راه حل های منطقی; 34M55; 11B83; 33E30; 34A05; Painlevé equations; Rational solutions; Umemura polynomials; Yablonsky-Vorobiev polynomials; Discriminants; Resultants;
Special polynomials associated with rational solutions of the fifth Painlevé equation
Keywords: راه حل های منطقی; 0230; 0340K; Painlevé equations; Rational solutions; Toda equations;