[PDF] Top 20 Bilinear Bäcklund transformations and explicit solutions of a \((3+1)\) dimensional nonlinear equation
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Bilinear Bäcklund transformations and explicit solutions of a \((3+1)\) dimensional nonlinear equation
... of solutions for NLEEs is very important in nonlinear physical phenomena and many effective methods have been ...of solutions of NLEEs, such as the inverse scattering method [], the Darboux ... See full document
13
Wronskian Determinant Solutions for the (3 + 1) Dimensional Boiti Leon Manna Pempinelli Equation
... This equation was used to describe the (2 + 1)-dimensional interaction of the Riemann wave propagated along the y-axis with a long wave propagated along the ...pairs, Bäcklund transformation, ... See full document
7
Exact three wave solutions for the (3+1) dimensional Boiti Leon Manna Pempinelli equation
... the Bäcklund transformation, Bai and Zhao got some new solutions of the BLMP ...BLMP equation was derived in []. Liu proposed a simple Bäcklund transformation of a potential BLMP system by ... See full document
11
Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation
... exact solutions of nonlinear evolution equations plays an important role in soliton theory and explicit formulas of ...Also, explicit formulas may pro- vide physical information and help us to ... See full document
8
Construction of \((n+1)\) dimensional dual mode nonlinear equations: multiple shock wave solutions for \((3+1)\) dimensional dual mode Gardner type and KdV type
... Burgers equation (TMBE) and two-mode fifth-order KdV equations (TMFKdV) [14, 15], the two-mode higher-order Boussinesq–Burger system [16], two-mode coupled Burgers equation [17], two-mode coupled modified ... See full document
12
Exact solutions and conservation laws of a (3+1) dimensional B type Kadomtsev Petviashvili equation
... the nonlinear partial differential equations ...act solutions of NLPDEs plays an important role in the study of ...exact solutions to ...the Bäcklund transformation [], the Darboux ... See full document
7
BIlinear transformations between discrete- and continuouS- time infinite- dimensional linear systems
... Riccati equation theory is not exponential stability, but a type of strong stability, introduced in Staffans [18, 19, 20, 21, 22, ...of solutions of discrete-time Riccati equations. In an earlier paper ... See full document
11
B¨acklund Transformations and Exact Explicit Solutions for a High-order Classical Boussinesq-Burgers Equation
... that nonlinear evolution equations play an important role in describing nonlinear scientific phenomena, such as marine engineering, fluid dynamics, plasma physics, chemistry, and ...these nonlinear ... See full document
5
Symmetry Reduction and Explicit Solutions of the (2 + 1) Dimensional DLW Equation
... in nonlinear science, has been widely applied in optics of nonlinear media, photonics, plasmas, mean-field theory of Bose-Einstein condensates, condensed matter physics, and many other ...these ... See full document
7
Painlevé Property and Exact Solutions to a (2 + 1) Dimensional KdV mKdV Equation
... high dimensional nonlinear partial differential or difference equations attract much ...multi-soliton solutions, Bäcklund and Darboux transformation ...high dimensional equations some ... See full document
10
Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (2+1)-dimension
... Hirota bilinear method, perturbation expansion truncated at different levels is used to obtain exact soliton solutions to (2+1)–dimensional nonlin- ear evolution equation in much ... See full document
13
The Periodic Solitary Wave Solutions for the (2 + 1) Dimensional Fifth Order KdV Equation
... of nonlinear phenomena in different fields such as the fluid physics, nonlinear optics, plasma physics and so on [1] ...the explicit analytic so- lutions for the soliton equations can help ... See full document
6
The Lump Solutions of the (1 + 1) Dimensional Ito Equation
... exact solutions of nonlinear equation is one of the hot topics in nonlinear ...of nonlinear complex physical phenomena appear in many fields, such as chemistry, biology, engineering and ... See full document
5
Bäcklund transformations for several cases of a type of generalized KdV equation
... generalized nonlinear Korteweg-de Vries (KdV) ...many explicit solutions to the equation have been produced ...this equation is given ... See full document
9
Solving burger’s equantion using explicit finite difference method and method of line
... differential equation (PDE) form meanwhile MOL transform a PDE into a system o f Ordinary differential equation (ODE) and solved using various ODE solver ...the solutions also depends on the methods ... See full document
24
The Traveling Wave Solutions for Some Nonlinear PDEs in Mathematical Physics
... i 0,1, 2, . Equating each coefficient of the poly- nomial to zero yields a set of simultaneous algebraic eq- uations omitted here for the sake of brevity. Solving these algebraic equations by either Maple or ... See full document
5
Non Scattering of the Solution of the Nonlinear Schrödinger Equation on the Torus
... DOI: 10.4236/jamp.2017.59162 1922 Journal of Applied Mathematics and Physics [5] Colliander, J., Keel, M., Staffilani, G., Takaoka, H. and Tao, T. (2010) Transfer of Energy to High Frequencies in the Cubic Defocusing ... See full document
6
The Rational Solutions and the Interactions of the N Soliton Solutions for Boiti Leon Manna Pempinelli Like Equation
... NLS equation, the Boussinesq equation [19], the KP equations [9] [20] [21] and so ...rational solutions [2] [3] [9] [10] [11] [22] to nonlinear differential equations in recent ... See full document
16
Classification of All Single Traveling Wave Solutions to (3 + 1) Dimensional Breaking Soliton Equation
... wave solutions to nonlinear partial differential equation, the complete discrimination system for polynomial and direct integral method are applied to the con- sidered ...wave solutions to the ... See full document
5
Asymptotic expansion of small analytic solutions to the quadratic nonlinear Schrödinger equations in two dimensional spaces
... shown in the usual weighted Sobolev space by using the method of normal forms by Shatah [12]. In the present paper, we continue to study the asymptotic behavior in time of solutions to the Cauchy problem (1.1) and ... See full document
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