Soliton and Similarity Solutions of Ν = 2, 4 Supersymmetric Equations
نویسندگان
چکیده
We produce soliton and similarity solutions of supersymmetric extensions of Burgers, Korteweg–de Vries and modified KdV equations. We give new representations of the τ -functions in Hirota bilinear formalism. Chiral superfields are used to obtain such solutions. We also introduce new solitons called virtual solitons whose nonlinear interactions produce no phase shifts.
منابع مشابه
Hirota's Virtual Multi-soliton Solutions of N = 2 Supersymmetric Korteweg–de Vries Equations
We prove that Mathieu’sN = 2 supersymmetric Korteweg–de Vries equations with a = 1 or 4 admit Hirota’s n-supersoliton solutions, whose nonlinear interaction does not produce any phase shifts. For initial profiles that can not be distinguished from a one-soliton solutions at times t ≪ 0, we reveal the possibility of a spontaneous decay and, within a finite time, transformation into a solitonic s...
متن کاملTopological soliton solutions of the some nonlinear partial differential equations
In this paper, we obtained the 1-soliton solutions of the symmetric regularized long wave (SRLW) equation and the (3+1)-dimensional shallow water wave equations. Solitary wave ansatz method is used to carry out the integration of the equations and obtain topological soliton solutions The physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. Note t...
متن کاملHirota’s virtual multi-soliton solutions of N = 2 supersymmetric KdV equations
We prove that Mathieu’s N = 2 supersymmetric Korteweg–de Vries equations with a = 1 or 4 admit Hirota’s n-supersoliton solutions, whose nonlinear interaction does not produce any phase shifts. For initial profiles that can not be distinguished from a one-soliton solution at times t ≪ 0, we reveal the possibility of a spontaneous decay and, within a finite time, transformation into a solitonic s...
متن کاملBPS Equations and the Stress Tensor
We exploit the relationship between the space components Tij of the energy-momentum tensor and the supercurrent to discuss the connection between the BPS equations and the vanishing of the components of the stress tensor in various supersymmetric theories with solitons. Using the fact that certain combination of supercharges annihilate BPS states, we show that Tij = 0 for kinks, vortices and dy...
متن کامل1 5 Fe b 20 02 BILINEARIZATION OF N = 1 SUPERSYMMETRIC MODIFIED KDV EQUATIONS
Two different types of N = 1 modified KdV equations are shown to possess N soliton solutions. The soliton solutions of these equations are obtained by casting the equations in the bilinear forms using the supersymmetric extension of the Hirota method. The distinguishing features of the soliton solutions of N = 1 mKdV and N = 1 mKdV B equations are discussed. email: [email protected] email: ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Symmetry
دوره 4 شماره
صفحات -
تاریخ انتشار 2012