Abstract
In this Letter, a (2 + 1)-dimensional soliton equation is studied by He’s variational approach. The solitary solutions are obtained using the Ritz method.
Highlights
In this Letter, a (2 + 1)-dimensional soliton equation is studied by He’s variational approach
In this letter, we consider the following (2 + 1) dimensions soliton equation to reveal new exact traveling wave solutions using He’s variational method i ut + uxx + u v = 0, (1)vt + vy + (v u∗)x = 0, √ where i = −1, u(x, y, t) is a complex function and v(x, y, t) is a real function which has studied in [1] by using the bifurcation theory
Many effective and reliable methods are used in the literature to investigate solitons and in particular multiple soliton solutions of completely integrable equations
Summary
Abstract In this Letter, a (2 + 1)-dimensional soliton equation is studied by He’s variational approach. The solitary solutions are obtained using the Ritz method. We consider the following (2 + 1) dimensions soliton equation to reveal new exact traveling wave solutions using He’s variational method i ut + uxx + u v = 0, (1) Soliton is an important feature of nonlinearity and can be found in many applications of science.
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