Variable Separation Solutions for the (2+1)-Dimensional General Ablowitz-Kaup-Newell-Segur Equation

Jun Lei; Song Hua Ma; Jian Ping Fang

doi:10.4028/www.scientific.net/AMM.268-270.1186

Paper Titles

Error Analysis in Calculating the Internal Force of Plane Statically Determinate Truss by the Original Size Principle
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Numerical Studies of Aerodynamic Performance of Gapped Flat Plates at High Angle of Attack
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Vibration Analysis of an Axially Moving Viscoelastic Beam
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Study of the New Exact Solutions of a (3+1)-Dimensional Nonlinear Evolution Equation
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Variable Separation Solutions for the (2+1)-Dimensional General Ablowitz-Kaup-Newell-Segur Equation
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Sectionalized Mechanical Models of Drilling Tool of Trenchless Directional Drilling
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The Analysis of Pulse Pressure by Vascular Strain
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Analysis of Stress-Strain Distribution for Wire Rope of Traction Hoister
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Experiment Research on Influence of Mud Density to Wear Resistance of TP140 Casing
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 268-270Variable Separation Solutions for the...

Variable Separation Solutions for the (2+1)-Dimensional General Ablowitz-Kaup-Newell-Segur Equation

Abstract:

With the help of the symbolic computation system Maple and the Riccati equation projective approach and a linear variable separation approach, a new family of the variable separation solutions of the (2+1)-dimensional general Ablowitz-Kaup-Newell-Segur(GAKNS) equation is derived. Based on the derived solitary wave solution, we obtain some line-soliton localized excitations.