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Soliton solutions to a class of relativistic nonlinear Schrödinger equations

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  • Cheng, Yongkuan
  • Yao, Yangxin

Abstract

By using a change of variables, we get new equations, whose respective associated functionals are well defined in H1(RN) and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a nontrivial solution.

Suggested Citation

  • Cheng, Yongkuan & Yao, Yangxin, 2015. "Soliton solutions to a class of relativistic nonlinear Schrödinger equations," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 342-350.
    • Handle: RePEc:eee:apmaco:v:260:y:2015:i:c:p:342-350
    DOI: 10.1016/j.amc.2015.03.055
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    References listed on IDEAS

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    1. Quispel, G.R.W. & Capel, H.W., 1982. "Equation of motion for the Heisenberg spin chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 110(1), pages 41-80.
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