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[PDF] Top 20 Soliton solutions of q Toda lattice by Hirota direct method

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Soliton solutions of q Toda lattice by Hirota direct method

Soliton solutions of q Toda lattice by Hirota direct method

... towards Hirota direct method, is introducing the so-called Hirota D-operator which is a binary differential operator exhibiting a new ... See full document

22

Multiwave Solutions for the Toda Lattice Equation by Generalizing Exp-Function Method

Multiwave Solutions for the Toda Lattice Equation by Generalizing Exp-Function Method

... scattering method [6], Hirota’s bilinear method [7], B¨acklund transformation [8], Painlev´e expansion [9], homogeneous balance method [10], function expansion methods [11], [12], [13], [14], [15], ... See full document

6

Integrable nonlocal Hirota equations

Integrable nonlocal Hirota equations

... the Hirota equation, which is a particular example of higher order nonlinear Schrödinger ...multi-soliton solutions for these models by employing Hirota’s direct method as well as ... See full document

27

Dynamics of bright and dark multi soliton solutions for two higher order Toda lattice equations for nonlinear waves

Dynamics of bright and dark multi soliton solutions for two higher order Toda lattice equations for nonlinear waves

... recurrence, Toda proposed a one-dimensional nonlinear lattice model with neighboring particles interacting through an exponential potential function, and the single soliton so- lution and the ... See full document

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Periodic wave solutions of the two dimensional Toda lattice equation by a direct method

Periodic wave solutions of the two dimensional Toda lattice equation by a direct method

... explicit solutions for differential equations, such as the scattering transform [], the Darboux transformation [], Hirota direct method [–], algebra-geometrical approach [–], ... See full document

14

The modified two dimensional Toda lattice with self consistent sources

The modified two dimensional Toda lattice with self consistent sources

... The soliton equations with self-consistent sources can model a lot of important physical ...of soliton equations with self-consistent sources have been studied via inverse scatter- ing methods [–], ... See full document

16

GENERALIZED (2+1)−DIMENSIONAL BREAKING SOLITON EQUATION

GENERALIZED (2+1)−DIMENSIONAL BREAKING SOLITON EQUATION

... breaking soliton equation. Multiple soliton solutions were formally derived for this ...singular soliton solutions were derived as well. The Hereman’s method shows effectiveness ... See full document

6

Rational reductions of the 2D-Toda hierarchy and mirror symmetry

Rational reductions of the 2D-Toda hierarchy and mirror symmetry

... a genuine extension of the dRR2T, analogous to the extension of the ordinary 1D-Toda hierarchy [19]. On the other hand, as soon as the conditions of (2) are not matched, it can readily be checked in examples that ... See full document

47

Homotopy Perturbation Method for the Generalized Hirota Satsuma Coupled KdV Equation

Homotopy Perturbation Method for the Generalized Hirota Satsuma Coupled KdV Equation

... Perturbation Method for Calcula- tion of the Temperature Distribution in the Cast-Mould Heterogeneous Domain,” Journal of Achievements in Ma- terials and Manufacturing Engineering, ... See full document

7

Vertex operators and soliton time delays in affine Toda field theory

Vertex operators and soliton time delays in affine Toda field theory

... demanded by (2.7). Furthermore it takes values between 0 and 1. Hence, in the centre of momentum frame, the time delay is always negative by (2.10) whatever the velocities concerned. As explained, this suggests that ... See full document

26

The Rational Solutions and the Interactions of the N Soliton Solutions for Boiti Leon Manna Pempinelli Like Equation

The Rational Solutions and the Interactions of the N Soliton Solutions for Boiti Leon Manna Pempinelli Like Equation

... rational solutions [2] [3] [9] [10] [11] [22] to nonlinear differential equations in recent ...rational solutions are rogue wave solutions [24] [25] [26], which describe signifi- cant nonlinear wave ... See full document

16

Darboux transformation of the general Hirota equation: multisoliton solutions, breather solutions, and rogue wave solutions

Darboux transformation of the general Hirota equation: multisoliton solutions, breather solutions, and rogue wave solutions

... eral Hirota equation (), which we will start with the plane wave seed ...general Hirota equation () can be obtained ...multibreather solutions of ...breather solutions because they are too ... See full document

17

Discrete Singular Convolution Method for Numerical Solutions of Fifth Order Korteweg De Vries Equations

Discrete Singular Convolution Method for Numerical Solutions of Fifth Order Korteweg De Vries Equations

... computational method for solving the fifth order Korteweg-de Vries (fKdV) equation is ...reliable method for solving nonlinear partial differential ... See full document

11

Solving The K(2,2) Equation By Means Of The Q-Homotopy Analysis Method (Q-Ham)

Solving The K(2,2) Equation By Means Of The Q-Homotopy Analysis Method (Q-Ham)

... Approximate Solutions of Nonlinear Partial Differential Equations by Modified q-Homotopy Analysis Method (mq-HAM), Hindawi Publishing Corporation, Journal of Applied Mathematics, Article ID 569674, 9 ... See full document

13

On the solutions and conservation laws of the coupled Drinfeld-Sokolov-Satsuma-Hirota system

On the solutions and conservation laws of the coupled Drinfeld-Sokolov-Satsuma-Hirota system

... It is well known that the conservation laws play a very important role in the solution pro- cess of differential equations. Also, one can safely say that the existence of a large number of conservation laws of a system of ... See full document

11

Existence of solutions for a general quasilinear elliptic system via perturbation method

Existence of solutions for a general quasilinear elliptic system via perturbation method

... Motivated by the single equation (.), the purpose of this paper is to study the exis- tence of both positive and negative solutions for the coupled quasilinear system (.). We mainly follow the idea of Liu et ... See full document

16

q Mittag Leffler stability and Lyapunov direct method for differential systems with q fractional order

q Mittag Leffler stability and Lyapunov direct method for differential systems with q fractional order

... with q-fractional order. We proposed the definition of q-Mittag-Leffler stability, presented sufficient criteria of q-Mittag-Leffler sta- bility and the q-fractional Lyapunov direct ... See full document

9

State Transition Induced by Self-Steepening and Self Phase-Modulation

State Transition Induced by Self-Steepening and Self Phase-Modulation

... the system passes through all five states and will be in paired bright-grey and paired bright-dark soliton states twice. This newly discovered unique state transition phe- nomenon is not described by the rational ... See full document

5

Improved Homogeneous Balance Method for Multi-Soliton Solutions of Gardner Equation with Time-Dependent Coefficients

Improved Homogeneous Balance Method for Multi-Soliton Solutions of Gardner Equation with Time-Dependent Coefficients

... balance method (HBM) plays an important role in solving nonlinear partial differential equations ...multi-soliton solutions of a time-dependent- coefficient Gardner equation from nonlinear ... See full document

8

Hirota bilinear computation of multi soliton solutions korteweg de vries equation

Hirota bilinear computation of multi soliton solutions korteweg de vries equation

... The characteristics of KdV equation itself which are nonlinear and dispersive could gives important thoughts in solving a critical phenomenon such as tsunami. The balancing of the nonlinearity and dispersion effects in ... See full document

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